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:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft