Math Problem Solver

$$\begin{aligned}5 x - 8 y &= 1\\4 x - 2 y &= 26\end{aligned}$$

Eliminate $x$ from equation 2 by multiply both sides of equation 1 by $- \frac{4}{5}$, and adding the results to both sides of equation 2.

$$\begin{aligned}5 x - 8 y &= 1\\\frac{22 y}{5} &= \frac{126}{5}\end{aligned}$$

Solve equation 2 for $y$, and substitute the solution into the remaining equations.

$$\begin{aligned}5 x &= \frac{515}{11}\\y &= \frac{63}{11}\end{aligned}$$

Solve equation 1 for the remaining unknown $x$.

$$\begin{aligned}x &= \frac{103}{11}\\y &= \frac{63}{11}\end{aligned}$$