This document outlines the steps to solve a system of linear equations. It starts with two equations, 5x+3y=36 and 2x+8y=62. It then multiplies the equations to eliminate variables, resulting in 10x+6y=72 and 10x+40y=310. Combining like terms gives 34y=238, so y=7. Substituting y=7 into one equation gives 10x+42=72, allowing x to be solved for as 3. Therefore, the solution is (3,7).