Question

​Julio says, If you subtract 18 from my number and multiply the difference by -5 ​, the result is-80 ​. What is ​s ​number?

Answer 1

`s=34`

Explanation:

Set up an equation using the given information:

• our number is represented by s
• subtract 18 from s
• multiply the difference by -5
• result is -80

"Multiply the difference" suggests that the subtraction should be done first. Following PEMDAS, in order to get subtraction done first, it would need to be in parentheses:

`(s-18)`

Then you would multiply that difference by -5:

`-5*(s-18)`

Now set the expression as equal to -80:

`-80=-5(s-18)`

Now you can solve for s. Use the distributive property:

`-80=-5(s)-5(-18)\\\\-80=-5s+90`

Isolate the variable s. Subtract 90 from both sides:

`-80-90=-5s+90-90\\\\-170=-5s`

Divide both sides by -5:

`(-170)/(-5)=(-5s)/(-5) \\\\34=s`

Your number is 34.

:Done

Check answer:

Insert the value of s into the equation to determine if true:

`-80=-5(34-18)\\\\-80=-5(16)\\\\-80=-80`

This is true, so the value of s is correct.

Answer 2

34 is your answer

Explanation:

34-18=16

16(-5)=-80