Question

Solve for (x,y,z). x+y+z=3 -x+3y+2z=-8 x=4z

Answer 1

x=4

y=-2

z=1

Explanation:

x+y+z=3

-x+3y+2z=-8

x=4z

so

4z+y+z=3,

y+5z=3

y=3-5z

-4z+3y+2z=-8

3y-2z=-8

3(3-5z)-2z=-8

9-15z-2z=-8

-17z=-8-9

-17z=-17

z=1

x=4z=4×1=4

y=3-5z=3-5×1=3-5=-2