Solve using elimination.
–6x − 2y = 20
3x + 6y = 15
You asked:
Solve the system of equations \(-\left( 6 x \right) - 2 y = 20\), \(3 x + 6 y = 15\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -5\\y &= 5\end{aligned}\]
\[\begin{aligned}- 6 x - 2 y &= 20\\3 x + 6 y &= 15\end{aligned}\]
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.
\[\begin{aligned}- 6 x - 2 y &= 20\\5 y &= 25\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}- 6 x &= 30\\y &= 5\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -5\\y &= 5\end{aligned}\]