Answer
infinitely many solutions
Work Step by Step
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.
