How do you solve the system of equations 2x - 5y = - 1 and 4x - 5y = 13?

1 Answer
Apr 4, 2018

(x,y)=(7,3)

Explanation:

2x=5y-1
x=5/2y-1/2 solve for x in terms of y in the first equation
4(5/2y-1/2)-5y=13 plug into other equation
10y-2-5y=13 distribute
5y-2=13 combine like terms
5y=15
y=3
Now, going back to the other equation
2x-5(3)=-1 plug in value of y
2x-15=-1
2x=14
x=7