#### Answer

Infinitely many solutions.

#### Work Step by Step

You have the equations:4x-7y=15 and -8x+14y=-30.Multiply the first equation by 2 so you can be able to eliminate a variable:
2(4x-7y=15)
8x-14y=30
Eliminate the equations by combining them:
-8x+14y=-30
8x-14y=30
0=0.
The equation is always true so it has infinitely many solutions