Given the system of equations, what is the solution?
3x - 2y + 10 = 0
5y = 4x + 8

Top equation, minus 10 both sides to get
3x-2y=-10

bottom equation, minus 4x both sides
5y-4x=8
-4x+5y=8

now elimiate y's

multiply top equation by 5 and bottom equaiton by 2 and add them together

15x-10y=-50
-8x+10y=16 +
7x+0y=-34

7x=-34
divide both sides by 7
x=-34/7

sub back

3x-2y=-10
3(-34/7)-2y=-10
(-102/7)-2y=-10
add (102/7) to both sides
-2y=-10+(102/7)
-2y=(-70/7)+(102/7)
-2y=32/7
divide both sides by -2, or times both sides by -1/2
y=-32/14
y=-16/7

(x,y)
(-34/7,-16/7)