Question

X-Y-2Z =-11
X-2Y-Z = -11
-X+Y+3Z = 14

Answer 1

9514 1404 393

Answer:

(X, Y, Z) = (-2, 3, 3)

Explanation:

We can subtract the second equation from the first to get ...

Y -Z = 0

We can add the third equation to the first to get ...

Z = 3

Then ...

Y -3 = 0 ⇒ Y = 3

and ...

X -3 -2(3) = -11

X = -2 . . . . . . . . . add 9

The solution is ...

(X, Y, Z) = (-2, 3, 3)