solve using elimination.
–x + 2y = 12
9x + 10y = 4
You asked:
Solve the system of equations \(-x + 2 y = 12\), \(9 x + 10 y = 4\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -4\\y &= 4\end{aligned}\]
\[\begin{aligned}- x + 2 y &= 12\\9 x + 10 y &= 4\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(9\), and adding the results to both sides of equation 2.
\[\begin{aligned}- x + 2 y &= 12\\28 y &= 112\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}- x &= 4\\y &= 4\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -4\\y &= 4\end{aligned}\]