Solve the following system of equations.

x + 2y - 6 = z

3y - 2z = 7

4 + 3x = 2y - 5z

X = 7/4

y = 3/2

z = - 5/4

Step 1: Multiply first equation by

-3 and add the result to the third equation. The result is:

x + 2 y + 3 y - 8 y - z - 2 z + 8 z = 6 = 7 = - 22

Step 2: Multiply second equation by 4 and add the result to the third equation. The result is:

x + 2 y + 3 y + 4 y - z - 2 z = 6 = 7 = 6

Step 3: solve for y.

4 y y = 6 = 32

Step 4: solve for z.

3z-2z 3⋅ 32 - 2z z = 7 = 7 = - 54

Step 5: solve for x by substituting y = 32 and z = - 54 into the first equation.