To solve this, the problem is solvable by elimination. So you see how the 5y and -5y cancel out? You basically add those two and you add the -7x and 4x and 10 and -10 leaving you with -3x=0. Dividing by each side gives you x=0. Then, plug 0 in for x in -7x+5y=10. Giving you
-7(0)+5y=10.
0+5y=10
5y=10
Divide by 5 on each side giving you y=2. So your answer is (0,2).
-7(0)+5y=10.
0+5y=10
5y=10
Divide by 5 on each side giving you y=2. So your answer is (0,2).