7x-2y=4
3x+5y=10
so we can eliminate
eliminate y's
2 times 5=10
multiply first by 5 and 2nd by 2 and add
35x-10y=20
6x+10y=20 +
41x+0y=40
41x=40
divide both sides by 41
x=40/41
sub back
7x-2y=4
solve for y first to make it easier
-2y=4-7x
y=(7/2)x-2
y=(7/2)(40/41)-2
y=(280/82)-2
y=140/41-2
y=140/41-82/41
y=58/41
(x,y)
(40/41,58/41)