Solve the 3 × 3 system shown below. enter the values of x, y, and z. x + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)

X= 1, y= -1, z= 2

Step-by-step explanation:

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

Step 4: solve for z, then for y, then for x:

By substituting into the first equation, we get the . So:

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