Solve using elimination.
5x + 3y = 3
x + 2y = 9
You asked:
Solve the system of equations \(5 x + 3 y = 3\), \(x + 2 y = 9\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -3\\y &= 6\end{aligned}\]
\[\begin{aligned}5 x + 3 y &= 3\\x + 2 y &= 9\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(- \frac{1}{5}\), and adding the results to both sides of equation 2.
\[\begin{aligned}5 x + 3 y &= 3\\\frac{7 y}{5} &= \frac{42}{5}\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}5 x &= -15\\y &= 6\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -3\\y &= 6\end{aligned}\]