Question

Solve the following system of equations.

2x – y + z = –3
2x + 2y + 3z = 2
3x – 3y – z = –4
Answer
(1, 3, –2)

(1, 3, 2)

(1, –3, 2)

(–1, 3, 2)

Answer 1

2x-y+z=-3
3x-3y-z=-4
=> 5x-4y=-7 (1)

2x+2y+3z=2
3x-3y-z=-4
=>11x-7y=-10 (2)

(1) and (2) =>
5x-4y=-7
11x-7y=-10
=> 9x=9 => x=1
y=3
z= -2
(1, 3, -2)