How do you solve the system of equations 2x+2y=12 and 2x3y=13?

1 Answer

x=31,y=25

Explanation:

Let 2x+2y=12 be equation 1 and 2x3y=13 equation 2.

Subtract equation 2 from equation 1
2x+2y=12()2x3y=13
y=25
y=25

Substitute y=25 into equation 1 to find the value of x
2x+2(25)=12
2x+50=12
2x=62
x=31