gg easy
we want to cancel 1 term
first, get them into form am+bn=c where a, b, and c are constants
m-2n=2 is good
m+n=2(n-3) is m+n=2n-6 which is m-n=-6
compare constants
m's have 1 and 1
n's have -2 and -1
let's cancel m's
a. multiply 1st equation by -1
-m+2n=-2
add to 2nd equation
-m+2n=-2
m-n=-6 +
0m+n=-8
n=-8
sub back
m-n=-6
m-(-8)=-6
m+8=-6
m=-14
b. to check
m=-14 and n=-8
m-2n=2
-14-2(-8)=2
-14+16=2
2=2 yep
m-n=-6
-14-(-8)=-6
-14+8=-6
-6=-6 yep
so m=-14 and n=-8 is the solution
