1 Answer

Jawher · Answer 1 · 2023-05-31T05:24:59+0000

Given data:

The first given equation is x-3y+2z=5.

The second given equation is 2x-4y+3z=8.

Third equation is -2x+4y-2z =-12.

Add second and third equations.

$\begin{gathered} (2x-4y+3z)+(-2x+4y-2z)=8-12 \\ z=-4 \end{gathered}$

Substitute -4 for z in first and second equations.

$\begin{gathered} x-3y=13 \\ x=13+3y \\ 2x-4y=20 \\ 2(13+3y)-4y=20 \\ 26+2y=20 \\ 2y=-6 \\ y=-3 \end{gathered}$

The value of x is,

$\begin{gathered} x-3(-3)+2(-4)=5 \\ x=4 \end{gathered}$

Thus, the value of x is 4, the value of y is -3, and the value of z is -4.

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