Solve.
-x + y = 2 4y + 4z = 16
3x + z = 6

Question

Quizplus · Accepted Answer

We can use substitution method to solve the system of equations. Rearranging the first equation, we get y = 2 - x. Substituting this into the second and third equation to eliminate y, we get:
4(2 - x) + 4z = 16  -->  -4x + 4z = 8
3x + z = 6
Solving these two equations simultaneously, we get x = 2 and z = -4. Substituting these values back into the first equation, we get y = 0.
Therefore, the solution is x = 2, y = 0, and z = -4, which corresponds to choice B.

Solve. -X + Y = 2 4y + 4z = 16