Question 952654: -4+h/3 = h+2
Answer by diazabdulm(7)   (Show Source):
You can put this solution on YOUR website! -4+h/3 = h+2
I want to get rid of the fractions so what do I do: I multiply the whole equation by the GCF of the denominators of the fractions. See how it works:
4/8 + 3/2 x = 8
What is the GCF of 8 and 2? It's 2 so this is how it should look:
2(4/8 + 3/2 x) = 2(8)
The parenthesis simply means that 2 is being multiplied to everything inside of it. So 2 times 4/8 + 2 times 3/2, etc. In this case, it is like this
-4+h/3 = h+2
So since there is only one denominator, we multiply everything by that number.
3(-4+h/3) = 3(h+2)
Simplify that and get:
-4 + h = 3h + 6
Which is:
-4 = 2h + 6
Which in simplified form is:
-10 = 2h
Which is:
-5 = h
To check if this method works, we will substitute our answer back into the problem.
-5 = h
-4 + h/3 = h + 2
(-4 + -5)/3 = -5 + 2
-9 / 3 = -3
-3 = -3
So it is true.
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