Question

Derick solves the problem below.
-3(4n + 2) = -4n + -2 (4n - 6)
After solving, he says that the equation has no solution.
If Derick is correct, show how you know.
If Derick is incorrect, show how you know and describe the solution to the equation.

Answer 1

As it is proved that the equation has no solution, Derick is correct

Step-by-step explanation:

Given

$-3(4n + 2) = -4n + -2 (4n - 6)$

We have to solve the equation in order to check if Derick was solved the equation correctly or not.

So,

Applying distributive property first

$-12n -6 = -4n -8n +12\\-12n-6 = -12n+12\\-12n+12n-6 = 12\\-6 = 12$

As the variable is already cancelled in the equation there is no unique solution.

In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation

So,

As it is proved that the equation has no solution, Derick is correct

Keywords: Linear equations, variables

Learn more about linear equations at:

• brainly.com/question/5510873
• brainly.com/question/5527192

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