SOLUTION: 2x+3y=7 3x-5y=1

Algebra ->  Linear-equations -> SOLUTION: 2x+3y=7 3x-5y=1      Log On


   



Question 1094079: 2x+3y=7
3x-5y=1

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the first equation through by -3 
and the second equation through by +2, so 
the x's will have equal coefficients with
opposite signs:



That will give 



Add the two equations term by term:

matrix%281%2C5%2C%0D%0A%0D%0A-19y%2C%22%22%2C%22%22=%22%22%2C%22%22%2C-19%29

y%22%22=%22%221

Substitute back in either of the original equations:

2x%2B3y%22%22=%22%227


2x%2B3%281%29%22%22=%22%227

2x%2B3%22%22=%22%227

2x%22%22=%22%224

x%22%22=%22%222

EDWIN