algebra 1
posted by im stuck on this one!! on .
use substitution method
m+2n=1 5m+3n=23
please step by step so that i could understand

Substitution means we express one variable in terms of another, and substitute this expression into the second equation.
m+2n=1 ...(1)
5m+3n=23 ...(2)
From (1), we have
m+2n=1
subtract 2n from each side to get
m+2n2n=12n
m=12n ...(1a)
Substitute m from (1a) into (2) to get:
5m+3n=23
5(12n)+3n=23
510n+3n =23
7n = 23 5
7n = 28
n=(28)/(7)=4 ...(2a)
Substitute n from (2a) into (1a)
m=12n
=12*4
=7
So m=7, n=4
Last step!!
Substitute the values of m and n into equations (1) and (2) to verify that the solutions are correct:
m+2n=1 ...(1)
7+2*4=7+8=1 OK
5m+3n=23 ...(2)
5*(7)+3*4
=35+12
=23 OK 
THANKS!!!!!!! great explaining!!!