Felisha is thinking of a number that is 3 times the value of Monique's number. Felisha's number is also 3 more than 4 times the value of Monique's number. What is Monique's number? Write and solve a system of equations to answer the question.

f = 3m
f = 3 + 4m
Since both equations are equal to f, set them equal to each other.
3m = 3 + 4m
Subtract 4m from both sides.
-m = 3
Divide both sides by -1.
m = -3

CHECK
f = 3(-3) = -9
f = 3 + 4(-3) = -9

Answer Link

kapoorprachi783 kapoorprachi783 · Answer 2 · 2022-06-08T12:37:54+02:00

-9 is Monique's number.

How to solve a system of equations?

There are three ways to solve systems of linear equations: substitution, elimination, and graphing.

We will solve using substitution.

Given,

f = 3m

f = 3 + 4m

Since both equations are equal to f, set them equal to each other.

3m = 3 + 4m

Subtract 4m from both sides.

-m = 3

Divide both sides by -1.

m = -3

CHECK

f = 3(-3) = -9

f = 3 + 4(-3) = -9

What is a system of an equation?

A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Learn more about the system of an equation here: brainly.com/question/14323743

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