Solve using elimination.
2x + 8y = –20
–4x − 3y = –12
You asked:
Solve the system of equations \(2 x + 8 y = -20\), \(-\left( 4 x \right) - 3 y = -12\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= 6\\y &= -4\end{aligned}\]
\[\begin{aligned}2 x + 8 y &= -20\\- 4 x - 3 y &= -12\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(2\), and adding the results to both sides of equation 2.
\[\begin{aligned}2 x + 8 y &= -20\\13 y &= -52\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}2 x &= 12\\y &= -4\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= 6\\y &= -4\end{aligned}\]