Question

X+y+z=5
-2x-3y+2z=8
3x-y-2z=3

Answer 1

x = 3, y = -2, and z = 4

Explanation:

x + y + z = 5 -2x - 3y + 2z = 8

3x - y - 2z = 3 x + y + z = 5....multiply by 3

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4x - z = 8 -2x - 3y + 2z = 8

3x + 3y + 3z = 15

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x + 5z = 23

4x - z = 8

x + 5z = 23....multiply by -4

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4x - z = 8

-4x - 20z = - 92 (result of multiplying by -4)

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-21z = - 84

z = -84/-21

z = 4 <=====

4x - z = 8 x + y + z = 5

4x - 4 = 8 3 + y + 4 = 5

4x = 8 + 4 y + 7 = 5

4x = 12 y = 5 - 7

x = 12/4 y = -2 <====

x = 3 <====