Question

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

Answer 1

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)

Answer 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