Answer:
[tex]s=34[/tex]
Step-by-step 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:
[tex](s-18)[/tex]
Then you would multiply that difference by -5:
[tex]-5*(s-18)[/tex]
Now set the expression as equal to -80:
[tex]-80=-5(s-18)[/tex]
Now you can solve for s. Use the distributive property:
[tex]-80=-5(s)-5(-18)\\\\-80=-5s+90[/tex]
Isolate the variable s. Subtract 90 from both sides:
[tex]-80-90=-5s+90-90\\\\-170=-5s[/tex]
Divide both sides by -5:
[tex]\frac{-170}{-5}=\frac{-5s}{-5} \\\\34=s[/tex]
Your number is 34.
:Done
Check answer:
Insert the value of s into the equation to determine if true:
[tex]-80=-5(34-18)\\\\-80=-5(16)\\\\-80=-80[/tex]
This is true, so the value of s is correct.
