Solve for x in x+ 3y + 2z = 8
x = 8 - 3y - 2z
Substitute x = 8 - 3y - 2z into 3x + y +3z = -10
24 - 8y - 3z = -10
Substitute x = 8 - 3y - 2z into -2x - 2y - z = 10
-16 + 4y + 3z = 10
Solve for y in 24 - 8y - 3z = -10
y = -3z - 34/8
Substitute y = -3z - 34/8 into x = 8 - 3y - 2z
x = 8 + 3(3z - 34)/8 - 2z
Substitute y = -3z - 34/8 into -16 + 4y + 3z = 10
-16 + -3z + 34/2 + 3z = 10
Solve for z in -16 + -3z + 34/2 = 3z = 10
z = 6
Substitute z = 6 into x = 8 + 3(3z - 34)/8 - 2z
x = -10
Substitute z = 6 into y = -3z - 34/8
y = 2
<u>Therefore,</u>
<u>x = -10</u>
<u>y = 2</u>
<u>z = 6</u>
<u>D. -10, 2, 6</u>