Solve using elimination.
–5x + 5y = 15
–6x + 5y = 9
You asked:
Solve the system of equations \(-\left( 5 x \right) + 5 y = 15\), \(-\left( 6 x \right) + 5 y = 9\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= 6\\y &= 9\end{aligned}\]
\[\begin{aligned}- 5 x + 5 y &= 15\\- 6 x + 5 y &= 9\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(- \frac{6}{5}\), and adding the results to both sides of equation 2.
\[\begin{aligned}- 5 x + 5 y &= 15\\- y &= -9\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}- 5 x &= -30\\y &= 9\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= 6\\y &= 9\end{aligned}\]