## Algebra 1

Multiply the first equation by 2. Add the equations. $\ \ \ 4x-\ \ 7y=\ \ 15\ \ \ \$multiply by 2$\ \ \ \ 8x-14y=\ \ 30$ $-8x+14y=-30\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-8x+14y=-30}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0=0$ Since the equation is always true, the system has infinitely many solutions.