Solve using elimination.
6x − 2y = –10
–x − y = 11
You asked:
Solve the system of equations \(6 x - 2 y = -10\), \(-x - y = 11\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -4\\y &= -7\end{aligned}\]
\[\begin{aligned}6 x - 2 y &= -10\\- x - y &= 11\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(\frac{1}{6}\), and adding the results to both sides of equation 2.
\[\begin{aligned}6 x - 2 y &= -10\\- \frac{4 y}{3} &= \frac{28}{3}\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}6 x &= -24\\y &= -7\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -4\\y &= -7\end{aligned}\]