Question

What is the solution to the system of equations?

X - 3y – Z=-9
-2x + y + 2z = 3
2x + y + 3z = 8

Answer 1

x = 1 y = 3 z = 1

Explanation:

(1) x - 3y - z = -9 (2) -2x + y + 2z = 3 (3) 2x + y + 3z = 8

2x(1) 2x - 6y - 2z = -18 (2) -2x + y + 2z = 3

- 5y = -15 2y + 5z = 11

y = 3 2(3) + 5z = 11

6 + 5z = 11

5z = 5

z = 1

x - 3(3) - 1 = -9

x - 9 - 1 = -9

x - 10 = -9

x = 1

Note: If you write your equations across your paper, then the work can just flow down the paper. It makes it so much easier to show the work you have done. OK?