4x - y + z = -5
-x + y -z = 5
2x -z -1 = y

linear systems 3 variables I'm lost

Answers

Answer 1

Step-by-step explanation:

rewriting the third equation

[tex]4x - y + z = - 5 \\ - x + y - z = 5 \\ 2x - y - z = 1[/tex]

add to second equation to the first

[tex]4x - y + z = - 5 \\ + (- x + y - z )= 5 \\ = 3x = 0 \\ x = 0[/tex]

[tex] - y + z = - 5 \\ y - z = 5 \\ - y - z = 1[/tex]

I add third equation to the second

[tex]y - z = 5 \\ + ( - y - z) = 1 \\ = - 2z = 6 \\ z = - 3[/tex]

substitute z = -3 into either one of the other two equations and solve for y

[tex] - y + ( - 3) = - 5 \\ - y - 3 = - 5 \\ - y = - 2 \\ y = 2[/tex]

x = 0

y = 2

z = -3

Answer 2

Answer:

x=0,z=-3,y=2

Step-by-step explanation:

sry for late response


Related Questions

If matrix A and B are inverses of each other,then A times B=I,where I is the identity matrix

Answers

We want to see if the given statement is true. (which is, by definition).

We define two inverse matrixes A and B as two matrixes that when multiplied are equal to a matrix with only ones in the diagonal.

This matrix with only ones in the diagonal (and zeros every else) is called the identity matrix.

Then the statement:

"If matrix A and B are inverses of each other, then A times B=I,where I is the identity matrix"

Is true by definition of inverse matrixes.

If you want to learn more, you can read:

https://brainly.com/question/4017205

Whats this game called

Answers

Answer:

It's Blurry

Step-by-step explanation:

sorry I don't lnow

Jetpack joyride… that’s an easy one

how do you turn 2/7 into a decimal (round in the Hundreds) Please helpppp

Answers

Answer:

Step-by-step explanation:.

Someone help me with this I will make you brain







A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During 2 week of the re call, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation function form to show the number of cars seen each week at the mechanic

Answers

Answer:

f(x)=-2x+192

Step-by-step explanation:

192-184=8

8/2=4 each week there is a reduction of 4 cars.

If you substitute the week into x you will find that the equation works.

12x - 4=4(2x+1) What is x?

Answers

Answer:

x = 2

Step-by-step explanation:

12x - 4 = 4(2x + 1)

Distribution first

12x - 4 = 4(2x) + 4(1)

12x - 4 = 8x + 4

Isolate x to one side

12x - 4 - 8x = 8x - 8x + 4

12x - 8x - 4 = 4

4x - 4 = 4

4x - 4 + 4 = 4 + 4

4x = 8

4x/4 = 8/4

x = 2

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!! LOOK AT PICURE!!

Answers

Answer:

the answer is (2,4) because of going down one unit you end up at (-2,4) and reflecting that you get (2,4)

which ordered pair is a solution of the equations y=-5/4x-2


A.(-8,8)

B.(8,-8)

C.(-8,-12)

D.(1, 15/4)

Answers

The answer is C. That would be ur answer

The polynomial f(x) = x³-x²+px+q, where p and q are constants, has remainder 8 when divided by (x-1). If (x+1) is factor of f(x), find the values of p and q​

Answers

Answer:p=-1 and q=1

Step-by-step explanation:

Answer:

p=3, q=5

Step-by-step explanation:

f(x) = x³-x²+px+q

factor: x+1 = 0   x = -1

(-1)³ - (-1)² + p*(-1) + q = 0

-2 - p + q = 0

p = q-2

(x-1) is factor of f(x) - 8, root x = 1 : f(x) = x³-x²+(q-2)x+q-8

(1)³ - (1)² + (q-2)(1) + q - 8 = 0

q - 2 + q - 8 = 0

2q = 10     q = 5

p = q-2 = 3

check: x³-x²+3x+5 = (x+1)(x²-2x+5)

x³-x²+3x+5 = (x²+3)(x-1) + 8

pls help!! using the pythagorean theorem !!!

Answers

Answer:

≈8.66

Step-by-step explanation:

Pls mark me brainliest :))

Answer:

h= 8.7 cm

Step-by-step explanation:

5^2 + h^2 = 10^2

25 + h^2 = 100

25-25= 0   100-25=75

h^2 = 75

[tex]\sqrt{75}[/tex]= 8.7

h=8.7

hope this helps :)

please crown me brainliest!!!!!

pls help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

it's triangle, all corners sums 180

11X+6=40+7X+2

X=9

Type the expression that results from the following series of steps:
Start with g, times by 7, then add 3.

Answers

Step-by-step explanation:

start with g and next times by 7 means multiply by 7 and add 3 to the result

7g+3

A boat traveled 17 miles in 2 hours. At this rate, how many miles will the boat
travel in 1/2
hour?

Answers

Answer:

Travels 4.25 miles in thirty minutes

Step-by-step explanation:

In order to find the answer to this question you need to first find how many miles the boat travels in a hour and then divide it once more to find how many miles it traveled in half a hour.

[tex]17\div2[/tex]

[tex]`7\div2=8.5[/tex]

[tex]2=17[/tex]

[tex]1=8.5[/tex]

[tex]8.5\div2=4.25[/tex]

[tex]=4.25[/tex]

Hope this helps.

Which is larger?
A) 52
B) 33
o
А
OB

Answers

Answer: 3 to the third power

Step-by-step explanation: 3x3x3=27

                                             5x5=25          27 is bigger that 25

hope this helped!


A Ricardo can paint a set of kitchen cabinet in 6 hours. His father can do it in 4 hours. How long
will a take them if they work together?


PLSSS HELPP MEE

Answers

The time it will a take them for both ricardo and his father to finish the painting if they work together is;

t = 2.4 hours

Time for ricardo to paint the set of kitchen cabinets = 6 hours

Time for Ricardo's father to finish painting = 4 hours

This means that ricardo in 1 hour paints 1/6 of the cabinets

His father in 1 hour paints 1/4 of the cabinets

If they work together, in one hour, they would have painted;

1/6 + 1/4 = 5/12 of the cabinet

If 5/12 of the cabinet is done in an hour,

then 12/12 will be done in; ((12/12) × 1)/(5/12)

⇒ 1 × 12/5

⇒ 2.4 hours

Read more at; https://brainly.com/question/8317268

The correct answer is:  " 2 hours and 24 minutes ";

or; write as:  " 2.4 hours " .

____

Step-by-step explanation:

[tex]\frac{x}{4} + \frac{x}{6} = 1[/tex]  ;  → { " 1 (one) whole job." }.

       We want to solve for "x" ; the total time, in "hours", that will take them if they work together.
        What is the LCD (least common denominator of "4" and "6" ?
→  Note that "4 * 6 = 24" ;  so, "24" would work, but let's see if we can find the LCD —a number less then "24" ;

4:  2, 4,  12, 16, 20, 24,

6: 1, 2, 3, 6, 12

⇒  We see that "12" is the LCD.
_____
So, " [tex]\frac{x}{4} = \frac{?}{12}[/tex] " ;  to solve for "?" ;

 →  4 * (what value?) = 12 ?
   →   12 ÷ 4 = (that value) ; ⇒   =  " 3 " .
 _____
So:  [tex]\frac{x}{4} = \frac{(x*3)}{(4*3)} = \frac{3x}{12}[/tex] ;
_____
 Now:  " [tex]\frac{x}{6} = \frac{?}{12}[/tex] " ; to solve for "?" ;

→  6 * (what value?) = 12 ?
   →   12 ÷ 6 = (that value) ;  ⇒   =  " 2 " .

 _____

So:  " [tex]\frac{x}{6} = \frac{(x*2)}{(6*2)} = \frac{2x}{12}[/tex] ;

Now:  →  [tex]\frac{x}{4} + \frac{x}{6} = 1[/tex] ;

Substitute our converted values:
         →   [tex]\frac{3x}{12} + \frac{2x}{12}=1[/tex] ;

Then simplify the "left-hand side" of the equation:
_____
        →   [tex]\frac{3x}{12} + \frac{2x}{12} = \frac{(3x+2x)}{12}[/tex]  = [tex]\frac{5x}{12}[/tex]  ;

Now, rewrite the simplified equation; and bring down the "1" :
_____

        →   [tex]\frac{5x}{12} = 1[/tex]   ;

Now, solve for "x" ; as follows:
_____
 ⇒   5x  =  ( 1 * 12 )  ;

  →   5x  =  12  ;

Now, divide Each Side of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" (in hours):
 _____
  →   5x / 5  =  12 / 5  ;

_____
to get:   x =  (12/5) hours.
_____
Now:  We have (12/5) of 1 hour ;     24/10

Note the exact conversion:  " 60 min. = 1 hr." :

So, 12/5 of 60 minutes;

=  " [tex]\frac{12}{5}[/tex] * [tex]}\frac{60}{1}[/tex] "  (minutes) ;
____
The "5" cancels to a "1" ;  and the "60" cancels to a "12" :

  {since:  "60 ÷ 5 = 12" ;  & since:  "5 ÷ 5 = 1 " .}.

→ And we can rewrite as:
    " [tex]\frac{12}{1} * \frac{12}{1}[/tex] "  (minutes) =  "12 * 12" minutes =  144 minutes.
⇒  " 144 minutes" equals:  How many hours?  " 144 ÷ 60  =  2.4  hours " ;

or; more specifically:

⇒ We have "2 hours and _(some) minutes".

→ that is;  " 2 hours plus 0.4 hour(s) " .

 [tex]\frac{(0.4) hr}{1}*\frac{(60)min}{1 hr} = [(0.4)*(60)] minutes[/tex] ;

                              =  24 minutes.

____

Alternate method:
____
(12/5 hours) = (12 ÷ 5) hours =  
" 2.4 hours " ;  (and continue if desired).
____

So:  The correct answer is:  " 2 hours and 24 minutes ";

                                       or; write as:  " 2.4 hours " .

____
Hope this is helpful to you!  Best of luck!

____

The city council is planning a long, narrow park with a playground at one end and a fountain at the other. They want the playground more than 5 blocks from the fountain and both items at least 2 blocks from the center of the park. The graph below represents the possible positions of the playground, relative to the center of the park. Which compound inequality represents the possible positions of the playground?

Answers

Answer:

1

Step-by-step explanation:

123456789098765432123456789098765432123457890987654321234567890987654321234567890987654321234567890*1*+0+1=1

Solve for x: -2|4x + 12| = -32 (5 points)
no solution
x = 1, x = -1
x = 1x = -7
x = -1, x = 7​

Answers

Answer:

x = 1, x = -7

Step-by-step explanation:

Step 1: Divide both sides by -2.

[tex]\frac{-2(|4x+12|)}{-2} = \frac{-32}{-2}[/tex] [tex]|4x + 12| = 16[/tex]

Step 2: Solve absolute value.

We know either 4x + 12 = 16 or 4x + 12 = -16.

1st Possibility:

4x + 12 = 164x + 12 - 12 = 16 - 12 (Subtract 12 from both sides)4x = 44x/4 = 4/4 (Divide both sides by 4)x = 1

2nd possibility:

4x + 12 = -164x + 12 - 12 = -16 - 12 (Subtract 12 from both sides)4x = -284x/4 = -28/4 (Divide both sides by 4)x = -7

Therefore, the answer is x = 1, x = -7.


PLEASE HELP ME I NEED HELP FAST PLEASEE

Answers

Answer:

20cm

Step-by-step explanation:

1. First find the area of the triangle

a = 1/2 × base × h

a = 1/2 × 10 × 11

a = 55cm²

2. Then times the area of the triangle by 8 to find the area of the rectangle

55 × 8 = 440cm²

3. Find the width of the rectangle:

The area of a rectangle is = l × w

22 × width = 440cm²

width = 440 ÷ 22

width = 20cm

Answer: Width = 20

Step-by-step explanation:

Give the area of triangle = x

So the area of rectangle = 8x

the area of triangle = (11 × 10) ÷ 2 = 55

So the area of rectangle = 8(55) = 440

The area of rectangle = W × L

So 440 = W × 22

W = 20

please give me a brainliest answer

taylor bought a fridge in a sale, where all the products were 15% of. they saved £52. what was the original price of the tv?

Answers

52 = 15% of original price which we call x
52 =15x/100
x=(52)100/15
x=346.67

The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could model either a linear or exponential growth. You will create both and then look at the true population increase and decide which model is closer the the true growth.

Which list of number below represent the growth from 1910 to 1990 as an exponential model? (jumping every 20 years)

Question 3 options:

92 mil, 105 mil, 173 mil, 220 mil, 280 mil


92 mil, 110 mil, 175.5 mil, 220.8 mil, 280 mil


92 mil, 121.4 mil, 160.3 mil, 211.6 mil, 280 mil


92 mil, 139 mil, 186 mil, 233 mil, 280 mil

Answers

Answer:

this answer is simply exponential growth also you did not put in a graph so i have to kind of improvise here  also this choice SHOULD be the answer: 92 mil, 139 mil, 186 mil, 233 mil, 280 mil

i did the math and this is what i got unless i did something wrong but either way hope this helps lol

Step-by-step explanation:

simply the following ​

Answers

Answer:

6x^6..........................


[tex]4 - x = 10[/tex]
what's the answer​

Answers

4 - x = 10

-x = 10 - 4

-x = 6

x = -6

Answer:

x = -6

Step-by-step explanation:

[tex]4-x = 10\\\\4 = 10 + x\\\\4-10 = x\\\\x = -6[/tex]

Feel free to mark this as brainliest! :D

I need help on numbers 1 and 2, please

Answers

Answer:

2 would be a':-8,-8 b': -8,4 c': 8,10 d': 8,-6

sketch the graph of each equation y=-5x



for the down line it goes till -10

Answers

Step-by-step explanation:

After you find y when x is the following you apply points on graph to get a straight line.

What re linear angles

Answers

Answer:

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other. The linear pair of angles are always supplementary as they form on a straight line. In other words, the sum of two angles in a linear pair is always 180 degrees.

Step-by-step explanation:

I HOPE THIS HELPS

3 ( 7+4)squared -14÷7

Answers

Answer:

43921

Step-by-step explanation:

"A number Y increased by 25"

Answers

Hello There!

The Answer to your Question is

y+25

plus also means "increased"

No matter what y is, if we add 25, we increase it by 25.

Hope this helps you! :)

[tex]GraceRosalia[/tex]

Someone help please?

Answers

Answer: x = -11

Step-by-step explanation: 85-96=-11 so -11+96 = 85 they are paralel to each other and have the same angle so yeahhhh...

Help please

3. A line passes through the points -6,-8 and -3,-7. What is the equation of the line in slope intercept form?

A. Y = 3x - 6

B. Y = 1/3x + 6

C. Y = 1/3x - 6

D. Y = 3x + 6

Answers

Answer:

the answer is C

Step-by-step explanation:

yeah-ya.... right?

Could someone answer all 3 questions?

Answers

Step-by-step explanation:

a:

-2

b:

(-12m^5 * n^3) / (6m^5 * n^3)

c:

I don't what the two methods is,so I have no idea

I ADDED A PIC
PLZZZZZZZZ HELP

Answers

Answer:

Continuous graph:

- The height of a plant as it grows

- Amount of fuel and distance traveled.

Discrete graph:

- Number of students per teacher

- Amount of chairs for each table

Step-by-step explanation:

In mathematics "discrete" means specific points that do not possess a continuous line but only the plotting of points above certain integer values. On the other hand, the word "continuous" in mathematics would be a graph that has a constant smooth line that lacks jumps between values and sometimes decimal numbers.

"The number of students per teacher" would be discrete as the amount of students per teacher would be a fixed integer value.

"The height of a plant as it grows" would be continuous as the height of the plants increases the longer it grows. This would be represented by a straight continuous line.

"Amount of fuel and distance traveled" would be continuous as the amount of fuel used correlates with the distance traveled, which can be represented with a continuous line.

"Amount of chairs for each table" would be discrete as it would be a set integer value for the amount of chairs at each table, not a continuous line.

Hope this helped! If you have any questions feel free to ask!

Other Questions
after clicking on a link on a website a box pops up In the text "Glenn Miller" What is the topic of this text? How do you know? PASAGOT ASAP TLE TLE TLE PLEASE HELP!! WILL GIVE BRAINLIEST!!!Determine the point and slope from the equation: y - 4 = -5(x + 2) *a) point: (2, -4) slope: -5b) point: (4, -2) slope: -5c) point: (-2, 4) slope: -5d) point: (-4, 2) slope: -5 What is the point of view of "A Yellow Dog " by Bret Harte? first person. second person. third person limited. third person omniscient. CAN YOU PLS CHECK IF ITS CORRECT I'LL MARK YOU BRAINLIST EXERCISE 3: Give advice.Example: I have a test tomorrow.->You should (ought to, had better) study tonight.5. My foot is asleep.->_________________________________________6. My roommate snores, and I can't get to sleep.-> _________________________________________7. My friend is arriving at the airport this evening. I'm supposed to pick him up, but I'veforgotten what time his plane gets in.-> _________________________________________8. My apartment is a mess, and my mother is coming to visit tomorrow! _________________________________________9. There's no food in the house, and some guests are coming to dinner tonight. _________________________________________10. I can't stop yawning. _________________________________________11. I have a toothache. _________________________________________12. I need to improve my English. _________________________________________13. I have the hiccups. _________________________________________14. When William gets out of college, his parents expect him to manage the family business, a shoe store, but he wants to be an architect. _________________________________________15. Pam's younger brother, who is 18, is using illegal drugs. How can she help him? _________________________________________16. The Taylors' daughter is very excited about going to Denmark to study for four months. You've been an international student, haven't you? Could you give her some advice? _________________________________________ What are the zeros of the function shown in the graph? 1, 1, 2 2, 1, 1 3, 1, 1 1, 1, 3 I need help with these two problems.Write in slope intercept form.Through (2,2) and parallel to y=x+4.Through (3,4) and perpend to y=-2x-4 the outside temperature decreases by 7 in 3.5 hours how much did the temperature change each hour Please help me! Im gonna give brainlist to the best answer.- Describe the strategic importance of Somalia giving examples of economic and military strategiesPlease write me a paragraph Which of the following words best replaces sagacity in the passage below? What role did William Penn play in the founding of Pennsylvania?He declared the colony independent from England.He set up a democratic government with fair trials and elections.He and his army defeated the Native Americans in the area.He forced people to follow the Quaker religion. in times of rising prices, cost of goods sold determined using the lifo inventory assumption typically will be than cost of goods sold determined using the fifo inventory assumption. AB is parallel to CD. CD is rotated 180 Which statement describes the relationship between ('D' and the transformed AB? How canyou prove it? 2.) Explain why the starting angle doesnt impact the time it takes the pendulum to swing back and forth? Brian invests 8200 into his bank account.He receives 6.0% per year simple interest.How much will Brian have after 2 years?Give your answer to the nearest penny where appropriate. which of freuds ideas is still part of modern psychoanalytic thought? f(x)=x+2, find f(0) The first step in the scientific method is to