Question

Please help 100 points

The sum of two numbers is negative eleven​, and one number is four​ less than the other.

The sum of two numbers is negative eleven​, and one number is seven​ 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 a comma

Equations

Preview

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Find the two numbers. Enter them below, separated by a comma.

Answer 1

The solution to the system of equations is m = -3.5 and n = -7.5

How to determine the numbers and the system of equations

Using the variables m​ and n​ to represent the two numbers, we have the system of equations to be:

m + n = −11

n = m − 4

We can solve the system of equations by substitution.

So, we have

m + m - 4 = −11

This gives

2m = -7

Dividing both sides by 2, we get:

m = −3.5

Substitute this value back into the first equation to solve for n:

n = -3.5 − 4

Combining like terms, we get:

n = -7.5

Hence, the solution to the system of equations is m = -3.5 and n = -7.5