Question

The sum of two numbers is negative nineteen, and one number is three less than theother.Using the variables m and n to represent the two numbers, write a system ofequations that describe the situation. Enter the equations below, separated by acomma.EquationFind the two numbers. Enter them below, separated by a comma.Please see the picture

Answer 1

Let one number be m and other number be n.

It is given that the sum of two numbers is negative nineteen.

Then the equation is determined as

`m+n=-19`

And one number is three less than the other.

`m=n-3`

Then substitute the value in the equation,

`n-3+n=-19`

`2n=-19+3\Rightarrow n=-(16)/(2)`

`n=-8`

Then the value of n is -8 and the value of m is

`m=-8-3=-11`

Hence the value of n is -8 and m is -11.