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Solve the system of linear equations in terms of a, where a = y.-2x+2y-z=12x-2y+z=1

Question

Solve the system of linear equations in terms of a, where a = y.

-2x+2y-z=1

2x-2y+z=1

 

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Step 1

We are given system of equations as

 

ya
-2x2 1
2x-2y 1
-z = ]
Z
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ya -2x2 1 2x-2y 1 -z = ] Z

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Step 2

Firstly, we will plug back y=a into both equations

 

—2х + 2а-z %3D1
2х - 2а+z %3D1
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—2х + 2а-z %3D1 2х - 2а+z %3D1

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Step 3

Now, we can add both equations 

an...

-2x 2a z2x-2az 11
-2x 2x2a-2a -zz 2
0+0+0 2
0 2
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-2x 2a z2x-2az 11 -2x 2x2a-2a -zz 2 0+0+0 2 0 2

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Tagged in

Math

Algebra

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