Solve.
-x + 2y + 2z = 0 5y + 3z = -4
Z = -3
A) (4, 1, -3)
B) No solution
C) (-3, 1, 4)
D) (4, -3, 1)

Question

Quizplus · Accepted Answer

Substituting $z = -3$ into the second equation gives $5y + 3(-3) = -4$, which simplifies to $5y - 9 = -4$, leading to $5y = 5$, and thus $y = 1$. Substituting $y = 1$ and $z = -3$ into the first equation gives $x + 2(1) + 2(-3) = 0$, which simplifies to $x - 4 = 0$, leading to $x = 4$. Therefore, the solution is $x = 4$, $y = 1$, $z = -3$, which matches choice A.

Solve. -X + 2y + 2z = 0 5y + 3z