Solve the system by finding x, y, and z.

x-y+z=1
x+y+3z=-3
2x-y+2z=0

The solution is

Step-by-step explanation:

Given:

The system of equations given are:

Add first and second equations. This gives,

Adding equations 2 and 3, we get

We need solve equations 4 and 5.

Multiplying equation (4) by -3, we get

Adding the above equation to equation (5), we get

Now, we plug in in equation (4). This gives,

Now, we plug in in equation (1). This gives,

Therefore, the solution is

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step-by-step explanation: