SOLUTION: Using linear combinations, how would you solve: m+3n=2 -m+2n=3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Using linear combinations, how would you solve: m+3n=2 -m+2n=3      Log On


   

Question 714193: Using linear combinations, how would you solve:
m+3n=2
-m+2n=3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Add the equations to get

m+3n=2
-m+2n=3
--------
0m+5n=5

5n = 5

n = 5/5

n = 1

Now use this to find m

m+3n=2

m+3(1)=2

m + 3 = 2

m = 2 - 3

m = -1

So the solutions are m = -1 and n = 1