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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

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 class=

Answer :

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

[tex]m+n=-19[/tex]

And one number is three less than the other.

[tex]m=n-3[/tex]

Then substitute the value in the equation,

[tex]n-3+n=-19[/tex]

[tex]2n=-19+3\Rightarrow n=-\frac{16}{2}[/tex]

[tex]n=-8[/tex]

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

[tex]m=-8-3=-11[/tex]

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

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