-6=3x-6y, 4x=4+5y
Re order the equations
3x+6y=6
4x-5y=4
Multiply each equation by the value that makes the coefficients of xopposite and simplify.
4(-3x)+4(6y)= 4(6)
3(4x)+3(-5y=3(4)
You have two new equations Solve for y
-12x+24y=24
12x-15y=12
__________
9y = 36
Y= 36/9
Y = 4
Now substitute y in one of the equations to get x .
4x=4+5y
4x= 4+ 5(4)
4x= 4+ 20
4x= 24
X= 24/4
X= 6
So your answer is
X= 6
Y= 4
Point form (6,4)
