Question

2. Two numbers m and n have the following properties: (1) their sum is 26 and (2) n is five

more than twice m. Write a system of equations that models the two properties given (write
them with the word and between them).

3. Enter your math answer
Find the values of m and n by solving the system you wrote in question 2

Answer 1

m + n = 26 and n = 2m + 5

m = 7, n = 19

Explanation:

Because we know that the sum of m and n is 26, we get the first equation. For the second equation, we are told that n is five more than twice m. So we multiple m by 2 and then add 5 to that to get what n is. This is our second equation.

We plug the second equation in for n in the first equation to get

m + (2m + 5) = 26

3m + 5 = 26

3m = 21

m = 7

And then for n, we solve the first equation to get

7 + n = 26

n = 19