SOLUTION: solve 3 over x equals 15 over x

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Question 86535: solve
3
over
x
equals
15
over
x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Fx=15%2Fx Start with the given equation

3x=15x Cross multiply

0=15x-3x Subtract 3x from both sides

0=12x Combine like terms

0=x Divide both sides by 12

So a possible answer is x=0

Check:
Plug in x=0

3%2F0=15%2F0

Since dividing by zero is not possible, the solution x=0 is not valid. So there are no solutions

Notice when we graph the two equations y=3%2Fx and y=15%2Fx

we can see that the graphs never intersect
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+3%2Fx%2C15%2Fx%29+