Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!

Answers

Answer 1

[1]   4x - 2y + 3z = 1

[2]   x + 3y - 4z = -7

[3]   3x + y + 2z = 5

Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :

-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1

-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1

[4]   -14y + 19z = 29

-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5

-3x - 9y + 12z + 3x + y + 2z = 21 + 5

-8y + 14z = 26

[5]   -4y + 7z = 13

Add 2 [4] to -7 [5] to eliminate y :

2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)

-28y + 38z + 28y - 49z = 58 - 91

-11z = -33

z = 3

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

-4y + 7 (3) = 13

-4y + 21 = 13

-4y = -8

y = 2

Plug both of these solutions into either of [1], [2], or [3] to solve for x :

x + 3 (2) - 4 (3) = -7

x + 6 - 12 = -7

x = -1


Related Questions

3 of 5
Simplify as far as possible without a calculator.
33(272+273)

Answers

Answer:

17,985

Step-by-step explanation:

33(545)= 17,985

Katie make the cake her brother a 1/8 of the cake her father ate one fourth of the cake and her mother eat 1/8 of the cake how much cake is left

Answers

Answer:

1/2

Step-by-step explanation:

Well first lets break it down into steps!

We have 1 cake.

Brother ate: 1/8

Mom ate: 1/8

Dad ate: 1/4

Now we know that 1/8 + 1/8 = 1/4.

So her brother and mom combined ate 1/4th of the cake.

Her dad also ate 1/4th.

So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.

1/2 of the cake is left.

What is the first step in ordering fractions with different denominators

Answers

Answer:

Find the common denominator.  :)

There was a 6 square foot piece of wrapping paper for a birthday present

Answers

where's the rest of question so I can help?

Can you please sent the full information that you need help with?

Help ASAP, easy 15 points and a brainly for the first one to answer .

Answers

Answer:

It slopes downward from left to right. You can see the downward slope of that gender, which starts at the left and moves to the right.

Step-by-step explanation:

A swester is 20 dollars and is on ssle for 12 dollars. What percentage off

Answers

12 dolars / 20 dolars

the percentage is

(20-12) / 20

= 8/20

= 40 %

22.35 written form using proper words

Answers

twenty-two and thirty-five hundredths

If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.

Answers

Answer:

A. There are two complex roots

Step-by-step explanation:

Just took the test

If the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

Discriminant of quadratic equation

The discriminant of a quadratic equation is given as;

[tex]b^2 - 4ac>0 \ \ ( 2 \ solutions; 1 \ positive \ and \ 1 \ negative\ solution)\\\\b^2 -4ac = 0 \ \ (1 \ real \ solution)\\\\b^2 - 4ac \ < 0 \ \ (complex \ root, \ no \ solution)[/tex]

A discriminant of negative 8 falls with last category in the solution above.

[tex]b^2 - 4ac <0 \ \ (eg \ -8),[/tex]

[tex]x = +/-\sqrt{-8} \\\\x = \sqrt{-8 } \ \ or \ \ -\sqrt{-8} \ \ \ \ \ (2 \ complex \ roots)[/tex]

Thus, if the discriminant of a quadratic equation is equal to Negative 8, there are two complex roots.

Learn more about discriminant of quadratic equation here: https://brainly.com/question/4318614

11. Use an inequality symbol (<, >, 2, =) to compare -26
O A.
O B. =
O C.<
O D.>

Answers

Answer:

c. <

Step-by-step explanation:

-26 < (less than) 54

How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!

Answers

Answer:

multiply or divide both quantities by the same number

Step-by-step explanation:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions

Answer:

1. True

5/7= 0.714285

20/28= 0.714285

2. False

11/13= 0.846

22/25= 0.88

A store plans to sell two different game consoles, the Wii and the xbox. The store’s wholesale price for the Wii is $250, and the store can sell one for $295. The xbox wholesale price is $400, and the store can sell it for $450. The stores marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager doe not want to invest more than $70,000 in inventory costs for game consoles. Write the constraints and the objective formula.

Answers

I'll answer this question in a bit, I am busy with some other things right now.

the quotient of 9 3/4 and 5/8​

Answers

Answer:

15.6

Step-by-step explanation:

The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!

15.6. If you convert 9 3/4 to a decimal, you get 9.75. 5/8 as a decimal would be .625. Divide those, and you get 15.6z

Suppose a manufacturer finds that 95% of their production is normal but the final 5% has one or more flaws. Each flawed good has a financial cost to the firm of $1. The manufacturer tasks a team led by you, the manager to identify the likelihood of upcoming flaws by providing your best expectation. Here is what you found by reviewing past production.Of the flawed goods:80% show Type 1 flaws.50% show Type 2 flaws.30% show both Type 1 and Type 2 flaws.1. Make a Bivariate Table using the above data.2. What is the probability and expectations of type 1 flaw?3. What is the probability and expectation of Type 2 flaw?4. What is the probability and expectations of Type 1 and 2 flaws?5. What is the probability and expectations of no flaws?

Answers

Answer:

1)    

FLAW                         TYPE2         NO TYPE2 FLAW

TYPE1                         0.015           0.025

NO TYPE1 FLAW        0.01             0.95

2) 0.04 and $0.04

3) 0.025 and $0.025

4) 0.015 and $0.015

5) 0.95 and $0.95

Step-by-step explanation:

Given that;

financial cost = $1

p(flaw) = 0.05  

p(type 1 flaw / flaw) = 80% = 0.8

p(type 2 flaw / flaw) = 50% = 0.5

p( type 1 and 2 flaw/flaw) = 30% = 0.30

1) Bivariate Table

p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04

p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw)  = 0.05 × 0.5 = 0.025

p( type 1 and 2 flaw) =  p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015

p( only 1 flow) = 0.04 - 0.015 = 0.025

p( only 2 flow) =  0.025 - 0.015 = 0.01

THEREFORE  the Bivariate Table;

FLAW                         TYPE2         NO TYPE2 FLAW

TYPE1                         0.015           0.025

NO TYPE1 FLAW       0.01              0.95

2) probability and expectations of type 1 flaw?

p( type 1 flaw) = p(flaw) × p(type 1 flaw/flaw) = 0.05 × 0.8 = 0.04

Expected financial cost to the firm per good = $1 × 0.04 = $0.04

3)  probability and expectation of Type 2 flaw

p( type 2 flaw) = p(flaw) × p(type 2 flaw/flaw)  = 0.05 × 0.5 = 0.025

Expected financial cost to the firm per good = $1 × 0.025 = $0.025

4) probability and expectations of Type 1 and 2 flaws

p( type 1 and 2 flaw) =  p(flow) × p( type 1 & 2 flaw/flaw) = 0.05 × 0.3 = 0.015

Expected financial cost to the firm per good = $1 * 0.015 = $0.015

5) probability and expectations of no flaws?

Probability of no flaw = P(No flaw) =95% =  0.95

Expected financial cost saved the firm per good due to no flaw

= $1 × 0.95 = $0.95

Help me please I’m timed

Answers

Answer:

a=3 b=4

Step-by-step explanation:

a on the power of 3 is 8

3 on the power of 4 is 81

multiply them and you get 648

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

-1 + 7 =-8

Step-by-step explanation:

Answer:

-6, -7

Step-by-step explanation:

-1 + -6 = -7

5x-(x-2) ≥ 2x-4(x-8)

Answers

Answer:

x>5

Step-by-step explanation:

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 36 x2 x dx

Answers

We need to find the integration of (36x²)x.dx .

We know,

[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]

Now,

[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]

Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .

Hence, this is the required solution.

area and percent . ​

Answers

Answer:

a. 61.92 in²

b. 21.396 ≈ 21.4%

c. $4.71

Step-by-step explanation:

a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out

Area of rectangular piece of stock = 24 in × 12 in = 288 in²

Area of the two circles = 2(πr²)

Use 3.14 as π

radius = ½*12 = 6

Area of two circles = 2(3.14*6²) = 226.08 in²

Amount of waste = 288 - 226.08 = 61.92 in²

b. % of the original stock wasted = amount of waste ÷ original stock × 100

= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%

c. 288 in² of the piece of stock costs $12.00,

Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288

= 1,356.48/288 = $4.71.

$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory

Answers

There are 22 workers are available in the factory.

What is Wages?

Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).

Here, Let the number of workers in the factory be x.

         Basic rate = $15

    Working hours in a week  = 48 hours

     Total wages in a week = $ 15840

If no overtime is to be paid then according to question,

   Amount paid to 1 worker = 48 X 15 = $ 720

  Amount paid to x worker = 720x

                 15840 = 720x

                    x = 15840/720

                    x = 22

Thus, There are 22 workers are available in the factory.

Learn more about Wages from:

https://brainly.com/question/14895331

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1/2 mi = 880 yd
O True
O False



Help

Answers

Answer:

True

Step-by-step explanation:

1,760 yds = 1 mile, 1,760 ÷ 2 = 880

-3 times (7+(-3) to the second power) divided by 3

Answers

Answer:

-18

Step-by-step explanation:

What is an advantage of using a check book

Answers

you can keep track of all the checks/money you have spent on other ppl.

To find the solution to the equation using factoring, we need to first write it in standard form.
Which of the following choices is equivalent to the equation:
(x - 3)(x + 5) = 10

x^2 + 2x - 5=0
x^2 + 8.2 – 25 = 0
x^2 + 2x – 25 = 0
x^2 + 2x + 5 = 0

Answers

Answer: the answer is x^2+2x-25

Step-by-step explanation:

Use distributive property

Multiply the two x’s by each other

Multiply the first x by +5

Multiply the -3 by x

Multiply the -3 by +5

You have x^2+5x-3x-15=10

Move the 10 to the left side and simplify

x^2+2x-25

0.5f - 2.3g

F= 12, g = 2

Answers

Hi there & welcome to brainly !

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{1.4}}}}[/tex]

Step-by-step explanation:

[tex] \text{Given : f \: = \: 12 \: g = 2}[/tex]

[tex] \text{To \: find : Value \: of \: given \: expression}[/tex]

[tex] \text{Let's \: start}[/tex] :

[tex] \text{0.5f \: - 2.3g}[/tex]

Here, The values of f and g are 12 and 2 respectively. Plug the given values :

↦ [tex] \text{0.5 ∗ \: 12 - 2.3 ∗ 2}[/tex]

Multiply : 0.5 and 12

↦ [tex] \text{6 - 2.3 \: ∗ \: 2}[/tex]

Multiply : 2.3 and 2

↦ [tex] \text{6 - 4.6}[/tex]

Subtract 4.6 from 6

↦ [tex] \text{ \boxed{1.4}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

The solution of the given expression will be; 1.4

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that  0.5f - 2.3g where f = 12 and g = 2

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

0.5(12)  -2.3(2)

6 - 4.6

=1.4

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

The complete question is;

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

What is the answer to this problem?

Answers

Answer:3

Step-by-step explanation:

C = 2()r

2*3.14 = 6.28

18.84 / 6.28

=3

If correct pls give brainly

the answer is 3 may i please get brainliest

I need to find the value of y

Answers

ok check this out

its a simple equation from my analysis

given the equation of the vector line 3y-4=28

just an algebraic simplification might help

3y=28+4

3y=32

y=1Answer: y=10.6667

Step-by-step explanation:

y=10.6667

Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)

Answers

Answer:

Here's the parallel line: y = 5x - 4

4x-5 that will be the exact answer

How much is 28 + 56 + 93

Answers

Answer:

177

Hope this helps

28+56+93 would equal 177 .

tim has two spinners

Answers

“Tim has two spinners”
Tim has two spinners.

How are 18:3 and 6:1 equivalent ratios

Answers

Answer:

You know 18:3 and 6:1 are equivalent ratios because if you take 18:3 and divide both sides by 3, 18/3:3/3, then you will get 6:1, which is clearly equal to 6:1.

18:3  and 6:1  are equivalent ratio because two ratios are in proportion

Given :

We are given with two ratios 18:3  and 6:1

We need to show that two ratios are equal

Lets take ration 18:3

Both 18  and 3  are divisible by 3

We can write the ratio in fraction form

[tex]\frac{18}{3} \\[/tex]

When we divide both top and bottom by 3  , we get

[tex]\frac{6}{1}[/tex]

we can say that [tex]\frac{18}{3} =\frac{6}{1}[/tex]

Hence, the ratios are equivalent ratios

18:3  and 6:1  are equivalent ratios

Learn more : brainly.com/question/18431407

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