NEED HELP ASAP WILL MARK BRAINLIEST!!!!!!!!!What is the solution to the system of equations

-4x - 5y - z = 18
-2x - 5y -2z=12
-2x + 5y +2z=4

A) (4,0,2)
B) (-4,0,-2)
C) (-4,2,0)
D) (-4,0,2)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

When we have multiple answers, we can check each to find the solution. Each ordered pair is written as (x,y,z). We substitute each into the equations to find which satisfy all equations and which do not.

A) (4,0,2)

-4(4)-5(0)-(2)=18

-16-0-2=18

$-18\neq18$

Not a solution

B) (-4,0,-2)

-4(-4)-5(0)-(-2)=18

16-0+2=18

18=18 is true. We now try the other equations.

-2(-4)-5(0)-2(-2)=12

8-0+4=12

12=12

We try the last equation.

-2(-4)+5(0)+2(-2)=4

8+0+-4=4

4=4

We no longer need to try C or D because a system of equations only has one solution. B is the solution.

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C. R
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Answers

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Answers

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Answers

Answer:

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Convert 4 7/31 into a decimal rounded to the
nearest thousandth.

Answers

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Answers

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The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2n
Equation 2: 3m = 4 + 4n

Step 1:
−3(m) = −3(8 + 2n) [Equation 1 is multiplied by −3.]
3m = 4 + 4n [Equation 2]

Step 2:
−3m = −24 − 6n [Equation 1 in Step 1 is simplified.]
3m = 4 + 4n [Equation 2]

Step 3:
−3m + 3m = −24 − 6n + 4n [Equations in Step 2 are added.]

Step 4:
0 = −24 − 2n

Step 5:
n = −12

In which step did the student first make an error?

Step 4

Step 3

Step 2

Step 1

Answers

The student first makes an error in the Step 3 where he addsequations in Step 2 to use the elimination method.

What is the elimination method?

To create an equation in one variable using the elimination method, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

How to solve this problem?

Notice that the student uses the elimination method to solve the equations. In Step 1, he makes the coefficients of m equal in both equations. In Step 2, he simplifies the previous step. In Step 3, he wants to add both equations to create an equation in one variable. But He forgot to add 4 of Equation 2. It's a mistake.