Solve: y/-2 + 5 = 13

Question

anonymous · Answer

I worked out the problem but unsure if I'm even close to the right answer. Is it -16?

phi · Answer

is the problem
$$ \frac{y}{-2} + 5 = 13$$
?

anonymous · Answer

Yes it is, sorry should have clarified that. It's a two-step equation.

phi · Answer

you can check your answer. replace y with -16 and see if the equation is true.

$$\frac{-16}{-2} + 5 = 13 ? $$
-16/-2 is +8  so you have
$$ 8+5  = 13 ? $$
8+5 is 13  so you get
$$  13 = 13 $$
which is true.

so y = -16 is correct

anonymous · Answer

Thanks so much @phi also for future knowledge how do you write the fraction?

anonymous · Answer

alt code?

phi · Answer

to solve
$$ \frac{y}{-2} + 5 = 13 $$
add -5 to both sides
$$ \frac{y}{-2} + 5 + -5 = 13 +- 5$$
simplify to get
$$  \frac{y}{-2} = 8 $$
multiply both sides by -2  to get
y = -8

for fractions, use the equation editor  (bottom left button)

phi · Answer

**multiply both sides by -2  to get
y = -16

anonymous · Answer

Thanks a bunch! :D