How do you solve the system of equations 2x + 2y = 130 and x - y = 35?

1 Answer
May 8, 2017

x=50

y=15

Explanation:

Using the second equation, solve for x by adding y to both sides:
x=35+y

Substitute this quantity in for x in the first equation:
2(35+y)+2y=130

Distribute:
70+2y+2y=130

Simplify by adding like terms:
70+4y=130

Subtract 70 from both sides:
4y=60

Divide each side by 4
y=15

Substitute 15 in for y in second equation:
x-(15)=35

Add 15 to both sides:
x=50