Question

Use only substitution or elimination to find the solution to the following system. 2m+4n=103m+5n=11

Answer 1

We will use the substitution method to solve the system of equations.

First, we can solve the first equation for "m":

2m + 4n = 10
2m = 10 - 4n
m = 5 - 2n

Now, we substitute this value of "m" into the second equation:

3(5 - 2n) + 5n = 11
15 - 6n + 5n = 11
-n = 11 - 15
-n = -4
n = 4

Now, we substitute this value of "n" back into the equation we found for "m":

m = 5 - 2(4)
m = 5 - 8
m = -3

Therefore, the solution to the system of equations is:

m = -3 and n = 4.