Question

solve by the substitution method

2m+n=9
m-6n=50


the solution is (___,___)

Answer 1

1. 2m + n = 9
m - 6n = 50

Using Eq.1, solve for n:
n = 9 - 2m
Substitute 9 - 2m for n in Eq. 2:
m -6(9 -2m) = 50
Solve for m:
m - 54 + 12m = 50
m = 8
Substitute 8 for m in Eq. 1:
2(8) + n = 9
n = -7.

Solution: m = 8, and n = -7.

Answer 2

x=8-4y,3x+5y=3