# 2x-5y=9 and 3x+4y=25. Solve by the method of elimination.

Saturday, July 24th, 2010

### Solution:

1. 3x + 4y=25

2. 2x – 5y=9

We could rewrite these as follows by multiplying the first equation by 5 and the second by 4:

1. 15x + 20y = 125

2. 8x – 20y = 36

If we add the above two equations, we can eliminate y:

23x = 161

So x =3D 7, and plugging this into the first equation we can figure out

y: **21 + 4y =3D 25**,

so **y = 1**

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