Question

3 variable linear equation results for

2x-2y+z=5,

-2x+3y+2z=-1,

x-4y+5z=4,

solve equation showing all steps

Answer 1

Call equations A, B and C.

A+B: D: y+3z=4

B+2C: E: -5y+12z=7

5D+E: 27z=27, z=1, so y=4-3=1 or (12-7)/5=1

Substitute for y and z in any equation to find x: x=(5+2-1)/2=3; (3+2+1)/2=3; x=4+4-5=3.

Single solution: x=3, y=1, z=1.