Solve each System by Elimination & determine how many solutions the system has

solve each System by Elimination and determine how many solutions the system has; i.e. (one solution, no solution, infinite many solutions)

1.) 16x + 14y = -14
8x + 7y = -15

2.) -4x + 10y = -8
-2x + 5y = -4

1. If you multiply the second equation by 2, then you get undefined solution. Note that:

16x + 14y = -14
(8x + 7y = -15)

16x + 14y = -14
16x + 14y = -30

Because -14 ≠ -30, there is no solution.

2. If you multiply the second equation by 2, then we have two exact same equations. Therefore, there are infinite solutions.

I hope this helps!