Solve the system of equations.
--x + y + 3z = -1 3x - y + z = -21

Name: Solve the system of equations. --x + y + 3z = -1 3x - y + z = -21
Brand: Quizplus
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Question

Quizplus · Accepted Answer

To solve the system, we can add the two equations to eliminate $y$, obtaining $-x + 3x + 3z + z = -1 - 21$, which simplifies to $2x + 4z = -22$, or $x = -2z - 11$. Substituting $x$ back into one of the original equations to solve for $y$, we find $y = -5z - 12$. Thus, the solution is in terms of $z$, making the correct answer $(-2z - 11, -5z - 12, z)$.

Solve the System of Equations