solve for x,y,and z

Question

2x-y+3z=10

-3x+y-2z=-11

-4x+y-4z=-15

Answer 1

I'm going to number the equations so you can keep track of what I'm doing.

1) 2x - y + 3z = 10

2) -3x + y - 2z = -11

4) -x + z = -1

3) -4x + y - 4z = -15

1) 2x - y + 3z = 10

5) -2x - z = -5

4) -x + z = -1

5) -2x - z = -5

-3x = -6

6) x = 2

5) -2x - z = -5

-2(2) - z = -5

-4 - z = -5

-z = -1

(7) z = 1

1) 2x - y + 3z = 10

2(2) - y + 3(1) = 10

4 - y + 3 = 10

-y = 3

y = -3

(2,-3,1)