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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.

Respuesta :

ANSWER:

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

-4, -13

STEP-BY-STEP EXPLANATION:

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

[tex]\begin{gathered} m+n=-17 \\ \: m-9=n \\ \\ m+n=-17,m-9=n \end{gathered}[/tex]

We substitute the second equation in the first and solve:

[tex]\begin{gathered} m+m-9=-17 \\ 2m=-17+9 \\ m=\frac{-8}{2} \\ m=-4 \\ \\ \text{ Now, for n, replacing the value of m:} \\ n=-4-9 \\ n=-13 \end{gathered}[/tex]

Therefore, the numbers are -4 and -13