How do you solve the following system: 2xy=7,2x+5y=5?

1 Answer
Dec 22, 2015

(x,y)=(313,13)

Explanation:

Given:
[1]XXX2xy=7
[2]XXX2x+5y=5

Subtract [2] from[1]
[3]XXX6y=2

Divide both sides by (6) (and reduce the resulting fraction)
[4]XXXy=13

Substitute (13) for y in [1]
[5]XXX2x(13)=7

Subtract 13 from both sides
[6]XXX2x=623

Divide both sides by 2
[7]XXXx=313