Solve using elimination.
–2x − 5y = –17
–6x + 6y = 12
You asked:
Solve the system of equations \(-\left( 2 x \right) - 5 y = -17\), \(-\left( 6 x \right) + 6 y = 12\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= 1\\y &= 3\end{aligned}\]
\[\begin{aligned}- 2 x - 5 y &= -17\\- 6 x + 6 y &= 12\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(-3\), and adding the results to both sides of equation 2.
\[\begin{aligned}- 2 x - 5 y &= -17\\21 y &= 63\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}- 2 x &= -2\\y &= 3\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= 1\\y &= 3\end{aligned}\]