Use the elimination method to solve the following system of equations.

2x - y + z = - 3

2x + 2y + 3z = 2

3x - 3y - z = - 4

The answer

2x - y + z = - 3 (1)

2x + 2y + 3z = 2 (2)

3x - 3y - z = - 4 (3)

(1) - (2) 3y + 2z = 5

3. (1) - 2. (2) 3y+5z = - 1

let 's solve

3y + 2z = 5

3y+5z = - 1

z = - 2, and 3y = 5+4=9, y=3, so 2x - 3 - 2 = - 3 implies x = 1

finally x=1, y=3 and z = - 2

proof

2x - y + z = - 3? 2.1 - 3 - 2 = - 3 (true)