Answer:
x=2
y=0
Explanation:
5x+7y=10;
3x-14y=6
Multiply the first equation by 2
2(5x+7y) =10*2
10x +14y = 20
Add this to the second equation to eliminate y
10x +14y = 20
3x-14y=6
------------------------
13x +0y = 26
13x = 26
Divide each side by 13
13x/13 = 26/13
x=2
Now we find y
3x-14y = 6
3(2) -14y = 6
6 - 14y = 6
Subtract 6 from each side
6-6-14y = 6-6
-14y=0
y=0