Question

Scott was considering the equation 5 – x = 12. He said, "That seems impossible. How can I start with 5 and subtract from it and have more than 5 as the difference?" Write a note to Scott explaining what the solution for x is and why it is possible.

Answer 1

x = -7

Explanation:

Given:

5 – x = 12

Subtract 5 from both sides

5 – x - 5 = 12 - 5

- x = 7

Note: the coefficient of -x is -1

- x = 7

Divide both sides by the coefficient of -x

- x / -1 = 7 / -1

x = -7

Check

5 – x = 12

5 - (-7) = 12

5 + 7 = 12

It is possible to subtract a number from 5 and have more than 5 as your answer when the unknown number is a negative value