Solve using elimination.
6x + 6y = 18
–3x + 2y = –19
You asked:
Solve the system of equations \(6 x + 6 y = 18\), \(-\left( 3 x \right) + 2 y = -19\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= 5\\y &= -2\end{aligned}\]
\[\begin{aligned}6 x + 6 y &= 18\\- 3 x + 2 y &= -19\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(\frac{1}{2}\), and adding the results to both sides of equation 2.
\[\begin{aligned}6 x + 6 y &= 18\\5 y &= -10\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}6 x &= 30\\y &= -2\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= 5\\y &= -2\end{aligned}\]