the output of a function is 10 more than 4 times the input. find the input when the output is -26

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given:

The output of a function is 10 more than 4 times the input.

Find the input when the output is -26

Solution:

Let x = input

4x + 10 = output

Equate 26 to the solution for the output, then solve for the input.

4x + 10 = -26 

Transpose 10 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

4x = -26 - 10

4x = -36

Divide both sides by 4 in order to determine the value of x.

4x/4 = -36/4

x = -9

Final answer:

Input = -9