Question

Solve the system of equations. Show all work!

x – y – 2z = 4
3x + y - z = 5
z = -3

Answer 1

Answer:

x=0

y=2

z=-3

Step-by-step explanation:

x-y-2z=4    ...(1)

3x+y-z=5   ...(2)

adding

4x-3z=9   ...(3)

z=-3   ...(4)

put in (3)

4x-3(-3)=9

4x+9=9

4x=9-9=0

x=0

put in (1)

0-y-2(-3)=4

-y+6=4

y=6-4=2

x=0,y=2,z=-3