Solve the system by substitution, solve by elimination. Please do both & explain. Don’t answer if you don’t know. Will mark brainliest. Thank you :)

Solve The System By Substitution, Solve By Elimination. Please Do Both & Explain. Dont Answer If

Answers

Answer 1

(1)

[1]   x + 5y - 4z = -10

[2]   2x - y + 5z = -9

[3]   2x - 10y - 5z = 0

Eliminate x by adding -2[1] to [2], and adding -1[2] to [3]:

-2(x + 5y - 4z) + (2x - y + 5z) = -2(-10) + (-9)

-2x - 10y + 8z + 2x - y + 5z = 20 - 9

[4] -11y + 13z = 11

-(2x - y + 5z) + (2x - 10y - 5z) = -(-9) + 0

-2x + y - 5z + 2x - 10y - 5z = 9

[5]  -9y - 10z = 9

Eliminate y by adding -9[4] to 11[5]:

-9(-11y + 13z) + 11(-9y - 10z) = -9(11) + 11(9)

99y - 117z - 99y - 110z = -99 + 99

-227z = 0

z = 0

Plug this solution into either [4] or [5] and solve for y :

[5] -9y - 10(0) = 9

-9y = 9

y = -1

Plug them both into either of [1], [2], or [3] and solve for x :

[1] x + 5(-1) - 4(0) = -10

x - 5 = -10

x = -5

(2)

[1] 2x - y + z = -4

[2] z = 5

[3] -2x + 3y - z = -10

Substitute [2] into [1] and [3]:

2x - y + 5 = -4

[4] 2x - y = -9

-2x + 3y - 5 = -10

[5] -2x + 3y = -5

Solve [4] for y :

2x - y = -9

2x + 9 = y

Substitute this into [5] and solve for x :

-2x + 3(2x + 9) = -5

-2x + 6x + 27 = -5

4x = -32

x = -8

Plug this into either [4] or [5] to solve for y :

[4] 2(-8) - y = -9

-16 - y = -9

y = -5


Related Questions

Is 3/17 a rational number

Answers

Answer:

no

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A rational number is number that can be made by dividing two integers, like a fraction, or a ratio. Something that would not be a rational number would be like the square root of 2.

PLS HELP IM GOING TO GET KICKED OFF MY SOCCER TEAM IF I DONT PASS MATH

Answers

Answer:

Answer is x = -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

i wish that you stay in your soccer team

the price of a necklace was increased by 10% to £150. what was the price before the increase

Answers

Answer:

$135

Step-by-step explanation:

10% of 150 = 15

150 - 15 = 135

Increased by 10%.

So, 150 x 0.10 = 15

The necklace was increased by £15.

The price before the increase is £150 - £15.

This amount is £135.

Rewrite the function by completing the square

h(x)=4x^2+4x+1

Answers

Answer:

[tex]h(x) = 4(x+\frac{1}{2})^{2}[/tex]

Step-by-step explanation:

[tex]h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}[/tex]

HELP! ASAP! 3x - 4y = -7 and 4x + 3y = 24 solve for x and y

Answers

Answer:

x = 3

y = 4

Step-by-step explanation:

3x -4y = -7

4x + 3y = 24

write the first equation in terms of y

3x - 4y = -7

3x + 7 = 4y

3x/4 + 7/4 = y

now substitute that into the second equation

4x + 3y = 24

4x + 3(3x/4 + 7/4) = 24

4x + 2.25x + 5.25 = 24

6.25x + 5.25 = 24

6.25x = 24 - 5.25

6.25x = 18.75

x = 18.75/6.25

x = 3

last step, substitute x for 3 in the equation.

y = 3x/4 + 7/4

y = 3*3/4 + 7/4

y = 9/4 + 7/4

y = 4

Answer:

[tex] \boxed{x = 3 \: and \: y = 4}[/tex]

Step-by-step explanation:

[tex]3x - 4y = -7.....(eq)1 \\ 4x + 3y = 24 .....(eq)2 \\ \boxed{step \: 1}\\ \times 4....3x - 4y = -7 \\ \times 3....4x + 3y = 24 \\\boxed{step \: 2} \\ 12x - 16y = - 28 \\ 12x + 9y = 72 \\ \boxed{step \: 3} \\ 12x - 12x - 16y - ( + 9y) = - 28 - 72 \\ - 25y = - 100 \\ y = \frac{ - 100}{ - 25} \\\boxed{ y = 4}\\.................. \\ \boxed{step \: 4} \\ substitute \: the \: value \: of \: y \: in \: .....(eq)1 \\ 3x - 4y = -7 \\ 3x - 4(4) = - 7 \\ 3x - 16 = - 7 \\ 3x = - 7 + 16 \\ 3x = 9 \\ x = \frac{9}{3} \\ \boxed{ x = 3}[/tex]

♨Rage♨

Kate had $28. After she bought a book , she had $18.05 how much did Kate spend on the book

Answers

Answer:

kate spent $9.95 dollars on the book

Step-by-step explanation:

Answer: She spent $9.95 on the book. $28.00 - $18.05 = 9.95

how many numbers are in pi

Answers

Answer:

31 trillion digits

Step-by-step explanation:

Is my teacher wrong or my answer is wrong
The one in the box is the teacher answer
By the second one is my answer

Answers

Answer:

i would say you bc the teachers alway right

Step-by-step explanation:

Jessica has an account with a credit union. Her account earns 2.7% simple interest yearly. Exactly a year and a half ago, she opened her account with $900.

Answers

$900 x .027% = $24.30

$24.30 divided by 2 = $12.15

$24.30 + $12.15 = $36.45

Answer : $936.45

WILL MARK BRANLIEST!! URGENT

Happy Paws charges $20.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

The equation is: ______=______

The total cost of the services will be equal at __ hours.

Answers

Answer:

The equation is: 20 + 4.5h = 11 + 5.75h

The total cost of the services will be equal at 7.83 or 8 hours.

Step-by-step explanation:

This equation is correct because it shows that these two scenarios equal the same amount of money when there is a certain amount of hours, or "h."

Here is how we solve the equation;

20 + 4.5h = 11 + 5.75h <-----Here is the original equation.

Service A                                                        Service B

1. 20 - 20 + 4.5h                         =               11 - 20 + 5.75h

2.4.5h - 5.75h =  -1.15h                             -9 + 5.75h/5.75 =

3. -1.15h/-1.15 = h                                              9/-1.15 = 7.83

                  h = 7.83 or 8 hours when rounded to the nearest hour

Hope this helps! :)

Given that 529 × 3.8 = 2010.2
write a division with an answer of 5.29

Answers

Answer:

Step-by-step explanation:

2010.2/380= 5.29

Answer:

5.29  = 20.102 / 3.8.

Step-by-step explanation:

529 × 3.8 = 2010.2

So 529 = 2010.2 / 3.8

We need 5.29 on the left so we divide both sides by 100:

5.29 = 2010.2 / (3.8*100)

5.29  = 20.102 / 3.8

See attachment for question. 8th grade algebra

Answers

it won’t let me see the picture

Answer:

the answer is -2

Step-by-step explanation:

your welcome have a great night


Write a justification for each step

Answers

what steps though :,).

Simplify Simplify Simplify

Answers

Answer:

[tex]2 \sqrt{6} [/tex] (second option)

Step-by-step explanation:

[tex] \sqrt{24} [/tex]

[tex] \sqrt{ {2}^{2} \times 6 } [/tex]

[tex] \sqrt{ {2}^{2} } \sqrt{6} [/tex]

[tex] \sqrt{ {2}^{2} } = |2| = 2[/tex]

[tex] = 2 \sqrt{6} [/tex]

Answer:

2√6

Step-by-step explanation:

Because 2 multiplied by itself is 4

4 times 6 is 24

You multiply 2 by itself is because of the square root

Square roots are the opposite of exponents

Just like how addition is the opposite of subtraction

2^2 is 4

√4=2

Since 24 has a 4 in its multiple you can simplify it into 2 and put it on the outside

Hope this helps!

At a baseball game, 6 hotdogs cost $27. What is the cost of 1 hotdog? How many hotdogs can you buy for $18

Answers

Answer:

What is the cost of 1 hotdog?

Answer: $4.50

How many hotdogs can you buy for $18?

Answer: 4

Step-by-step explanation:

If $27 can buy you 6 hot dogs, to find the cost of one, we just divide.

27 divided by 6 = 4.5 ($4.50)

So 1 hotdog costs $4.50

If 1 hotdog is $4.50, and we want to know how much we can buy for $18, then we divide again.

18 divided by 4.5 = 4

So for $18, we can buy 4 hotdogs

help somebody please , i’ll cash app you .

Answers

Answer:

Yes

Step-by-step explanation:

When you substitute

y: 11

x: -2

Substitute:

y=x+13

11=-2+13

11=11

This is always true.

Evaluate the expression: 0.5f - 2.3g where f = 12 and g = 2

Answers

Answer:

1.4

Step-by-step explanation:

0.5f-2.3g where f=12 and g=2

substitute 12 in for f and 2 in for g and solve

0.5(12)-2.3(2)

6-4.6=1.4

Answer:

-4.6g + 6

Step-by-step explanation:

(0.5)(12)−2.3g(2)

=6+−4.6g

Answer:

=−4.6g+6

if y varies directly as x and y = 3 when x = 24, find y when x = -16​

Answers

Answer:

-2

Step-by-step explanation:

y/x=constant

3/24=y/(-16)

y=-2

The discount price of a hat is $18. What is the regular price?

Answers

Without that value, we can't solve your problem, unless you are looking for an algebraic equation.

Mr. Jackson gave an exam worth 50 points.
The mean score on the exam was 38, and the standard deviation was 4.
Mr. Jackson also reported his students’ z-scores.
Corey’s z-score was –1.75. This means that Corey scored points on the exam.

Answers

Z = (score - mean)/sd

-1.75 = (x - 38)/4

Multiply both sides by 4:

-7 = x -38

Add 38 to both sides:

x = 31

He scored a 31 points on the exam

Answer:

The person above is right, and deserves brainliest.

31 Is the correct answer

ED2021

Consider the graph of the function f(x)=10^x.

Answers

Using graph, the value of g(x) = 8 and the y- intercept at the point (0,-1).

What is graph?

A graph is a "mathematical representation of a network and it describes relationship between lines and points".

According to the question,

f(x) = [tex]10^x[/tex]

g(x) = -4f(x) +12

g(x) = -4 (10ˣ) +12

The graph intersect at y-axis then x-coordinate should be zero.

Let take any two points on y-axis (0, 1) and substitute g(0) = -4 (10⁰) + 12

= 8

Hence, the value of g(x) = 8 and the y- intercept at the point (0,-1).

Learn more about graph here

https://brainly.com/question/1511748

#SPJ2


If a factory can produce 850 teddy bears in 2 days, how many teddy bears will it produce in 3 days?

Answers

Answer:

Step-by-step explanation:

I believe if you multiply 850×2= 1700.

Multiply 850×3..

That would equal to 2550.

i think its 1275. if you can do 850 in two days, then you can do 425 in one day, because 850/2 = 425. so if we know they make 850 in two days, and we know that 425 are made in one day, 850+425= 1,275.

PLEASE HELP KWNVENVIENIWDCNINVJDSNIDNVJN

Answers

answers are
-3/8
2/4 or 1/2 simplified
and -3/2 !!

Answer:

y1 - y2/x1 - x2

1. -3/8

5 - 2/0 - 8

3/-8

-3/8

2. 1/2

1 - (-1)/6 - 2

1 + 1/4

2/4

1/2

3. -1 1/2

-5 - (-2)/-1 - (-3)

-5 + 2/-1 + 3

-3/2

-1 1/2

Which of the following is a solution of 4x^2=-9x-4

Answers

Answer:

(-9+√17)/8

Step-by-step explanation:

its an example of quadratic

3. A googol is a very large number expressed as
10100. Ms. Rogers asked her students to
determine which number is larger, a googol
or 10010. Explain how her students might use
the idea of repeated factors in order to find
the solution.

Answers

Answer:

10^100 is larger than 100^10.

Step-by-step explanation:

10^100 compared to 100^10, we have 10^100 greater. 100^50 would equal to 10^100, as 10^2=100. 10^100 would be much more than 100^10.

Hope the explanation helps!

Solve the inequality.
m-(-4) <8

Answers

Answer: m = 4

m + 4 < 8

m + 4 − 4 < 8 − 4

m < 4

Enter the number of rows needed and the number of seats that will be left over.


826 seats and 42 seat per row

rows


extra seats

Answers

Answer:

Assuming the covered digits are _

The sum is 826.

243 + 1_7 + _26 = 826

The objective is to determine the sum of the two unknown digits

So; we need to think about what number can we add put in 1_7 to determine the covered digit in  _26

From ; 1_7 , we have the choice to pick from 0 - 9

Assuming the covered digit is 0; let's check if we are right

So; 243 + 107  +  _26 = 826

350 +   _26 = 826

_26 = 826 - 350

_26 = 476

So; the covered digit is in the position of 4 , but it doesn't tally together

i.e 426 is not the same as 476, which makes our assumption to be wrong.

Let consider the covered digit to be 5 for example.

So; 243 + 157  +  _26 = 826

400 +   _26 = 826

_26 = 826 - 400

_26 =  426

The covered digit is in the position of 4

SO;

426 = 426

Here , our assumption is right.

As such , the covered digits are 5 and 4

The sum of the two  covered digits are = 5 + 4 = 9

Step-by-step explanation:

Please answer ASAP!!! :)
.-. .-. .-. .-. .-. .-.

Answers

Answer:

I highly recommend that it must be the second story

will give brainlyest if u help

Answers

Answer:

No, because it fails the vertical line testB

Step-by-step explanation:

To check if the graph represents a function or not, use the vertical line test

Vertical line test: Draw a vertical line to cuts the graph in different positions,

if the line cuts the graph at just one point in all positions, then the graph represents a functionif the line cuts the graph at more than one point in any position, then the graph does not represent a function

In the given figure

→ Draw vertical line passes through points 2, 6, 7 to cuts the graph

∵ The vertical line at x = 2 cuts the graph at two points

∵ The vertical line at x = 6 cuts the graph at two points

∵ The vertical line at x = 7 cuts the graph at one point

→ That means the vertical line cuts the graph at more than 1 point

   in some positions

The graph does not represent a function because it fails the vertical

   line test

if u missed my first on here: If you can guess my number from 1-10 in your first try ill give brainliest :) but if you are like 1-2 numbers away, (soooo close) I'll still give you a brainliest

Answers

Answer:

7

Step-by-step explanation:

I think 7...... so yeah

Answer:

5 I think think

Step-by-step explanation:

5 I think

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