Solve using elimination.
x − 2y = –6
–x − 2y = 14
You asked:
Solve the system of equations \(x - 2 y = -6\), \(-x - 2 y = 14\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -10\\y &= -2\end{aligned}\]
\[\begin{aligned}x - 2 y &= -6\\- x - 2 y &= 14\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(1\), and adding the results to both sides of equation 2.
\[\begin{aligned}x - 2 y &= -6\\- 4 y &= 8\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}x &= -10\\y &= -2\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -10\\y &= -2\end{aligned}\]