Solve the system using substitution m=4n+11 - 6n+8m=36

M=4n+11

-6n+8m=36

-6n + 8 (4n+11) = 36

-6n + 32n + 88 = 36

26n = 36 - 88

26n = - 52

n = - 2

m = 4n+11 = 4 (-2) + 11 = 3

Answer: (3, - 2)

-6n+8m=36, using m=4n+11 in this equation gives you:

-6n+8 (4n+11) = 36 perform indicated multiplications on left side

-6n+32n+88=36 combine like terms on left side

26n+88=36 subtract 88 from both sides

26n=-52 divide both sides by 26

n=-2, this makes m=4n+11 become:

m=4 (-2) + 11

m=-8+11

m=3

So the solution to the system of equations is:

n=-2 and m=3