4x+3y=7
3x-2y=9
12x+9y=21
12x-8y=36
^^Multiply top equation by 3 and multiply bottom equation by 4
12x+9y=36
- 12x-8y=36
17y=-15
^^Then subtract those two new equations
17y/17= -15/17
Y= -0.88
^^Next divide both sides by 17
4x+3* -0.88=7
4x + (-2.64) =7
-(-2.64) -(-2.64)
4x = 9.64
4x/4=9.64/4
X=2.41
^^then choose on equation and put your new y in the y spot and solve.
X=2.41
Y=-0.88
Your point/coordinate is (2.41,-.88)