Solve using elimination.
2x + 2y = –4
8x + 5y = –19
You asked:
Solve the system of equations \(2 x + 2 y = -4\), \(8 x + 5 y = -19\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -3\\y &= 1\end{aligned}\]
\[\begin{aligned}2 x + 2 y &= -4\\8 x + 5 y &= -19\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(-4\), and adding the results to both sides of equation 2.
\[\begin{aligned}2 x + 2 y &= -4\\- 3 y &= -3\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}2 x &= -6\\y &= 1\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -3\\y &= 1\end{aligned}\]