Algebra 1

Multiply the first equation by 5. Multiply the second equation by 4. Add the equations. $\ \ \ 4x-\ 8y=\ \ \ 15\ \ \ \$multiply by 5$\ \ \ \ \ \ \ \ 20x-40y=\ \ \ \ \ 75$ $-5x+10y=-30\ \ \ \$multiply by 4$\ \ \ \ \underline{-20x+40y=-120}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0=-\ \ 45$ Since the equation is false, the system has no solution.