Question

The sum of two numbers is negative seventeen, and one number is nine less than the other.Using the variables m and n to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by comma.Find the two numbers. Enter them below, separated by a comma.

Answer 1

Explanation:

given
m+n=-17,m-n=9

hence m=9+n apply in the 1 st eq

(9+n)+n=-17

2n=-17-9

n=8/2

n=4==>m=9+4

m=13,n=4

Answer 2

m + n = -17, m - 9 = n

-4, -13

Explanation:

According to the statement, we can establish the following system of equations:

`\begin{gathered} m+n=-17 \\ \: m-9=n \\ \\ m+n=-17,m-9=n \end{gathered}`

We substitute the second equation in the first and solve:

`\begin{gathered} m+m-9=-17 \\ 2m=-17+9 \\ m=(-8)/(2) \\ m=-4 \\ \\ \text{ Now, for n, replacing the value of m:} \\ n=-4-9 \\ n=-13 \end{gathered}`

Therefore, the numbers are -4 and -13