Question

3y-5z=-23

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

Solve for each variable, please show work if possible!

Answer 1

{y,z,x} = {-9/4,13/4,7/16}

Answer 2

4x + 2y + 3z = 7
-2x - y - z = -3....multiply by 2
------------------
4x + 2y + 3z = 7
-4x - 2y - 2z = -6 (result of multiplying by 2)
------------------add
z = 1

3y - 5z = -23
3y - 5(1) = -23
3y - 5 = -23
3y = -23 + 5
3y = - 18
y = -18/3
y = -6

4x + 2y + 3z = 7
4x + 2(-6) + 3(1) = 7
4x - 12 + 3 = 7
4x - 9 = 7
4x = 7 + 9
4x = 16
x = 16/4
x = 4

solution is (4,-6,1)