SOLUTION: Please help me solve this equation: 3x/4 + 5x/2 = 13 I have tried to solve it three different ways, but I continue to have complications, I don't understand fractions at all.

Algebra ->  Linear-equations -> SOLUTION: Please help me solve this equation: 3x/4 + 5x/2 = 13 I have tried to solve it three different ways, but I continue to have complications, I don't understand fractions at all.      Log On


   



Question 353164: Please help me solve this equation: 3x/4 + 5x/2 = 13
I have tried to solve it three different ways, but I continue to have complications, I don't understand fractions at all.

Found 2 solutions by Edwin McCravy, ewatrrr:
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2F4%22%22%2B%22%225x%2F2%22%22=%22%2213
You're like everybody else who takes algebra.  Nobody likes fractions.
But never fret, because there is a way to get rid of them all:

First put a 1 under the 13 so every term will be a fraction:

3x%2F4%22%22%2B%22%225x%2F2%22%22=%22%2213%2F1

The denominators are 4, 2, and 1, and they will all divide
evenly into 4.  So we put 4 over 1 like this red%284%2F1%29
and multiply every term by red%284%2F1%29 by writing red%284%2F1%29red%28%22%22%2A%22%22%29 before each term:

red%284%2F1%29red%28%22%22%2A%22%22%293x%2F4%22%22%2B%22%22red%284%2F1%29red%28%22%22%2A%22%22%295x%2F2%22%22=%22%22red%284%2F1%29red%28%22%22%2A%22%22%2913%2F1

Then we can have fun cancelling away all the denominators, except the 1's
which we can just erase:

       2
red%28cross%284%29%2F1%29red%28%22%22%2A%22%22%293x%2Fcross%284%29%22%22%2B%22%22red%28cross%284%29%2F1%29red%28%22%22%2A%22%22%295x%2Fcross%282%29%22%22=%22%22red%284%2F1%29red%28%22%22%2A%22%22%2913%2F1

Now we will have no denominators, and the resulting equation is so easy a
cave man can do it!:

3x%22%22%2B%22%2210x%22%22=%22%2252

13x%22%22=%22%2252

x%22%22=%22%224

Edwin

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
%283x%29%2F4+%2B+%285x%29%2F2+=+13
*Note: Multiplying terms on both sides of the equation by 4 results in:
.
%284%2A3x%29%2F4+%2B+%284%2A5x%29%2F2+=+4%2A13
.
3x +10x = 52
13x = 52
x = 4
.
check your answer