SOLUTION: solve the following equation: <pre> 5 3 ____ = ______ 7x-3 4x-5 </pre> the 5 goes over the 7x and the 3 goes over the 4x

Algebra ->  Equations -> SOLUTION: solve the following equation: <pre> 5 3 ____ = ______ 7x-3 4x-5 </pre> the 5 goes over the 7x and the 3 goes over the 4x      Log On


   

Question 243755: solve the following equation: 
5               3
____   =     ______
7x-3           4x-5

the 5 goes over the 7x and the 3 goes over the 4x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%287x-3%29=3%2F%284x-5%29 Start with the given equation.


5%284x-5%29=3%287x-3%29 Cross multiply


20x-25=21x-9 Distribute.


20x=21x-9%2B25 Add 25 to both sides.


20x-21x=-9%2B25 Subtract 21x from both sides.


-x=-9%2B25 Combine like terms on the left side.


-x=16 Combine like terms on the right side.


x=%2816%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-16 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x=-16