SOLUTION: Solve. Express your answer in simplest form. x/5x+10 / x-3/x+2 = 7/5

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve. Express your answer in simplest form. x/5x+10 / x-3/x+2 = 7/5      Log On


   

Question 85434: Solve. Express your answer in simplest form.
x/5x+10 / x-3/x+2 = 7/5
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

+%28x%2F%285x%2B10%29%29+%2F+%28%28x-3%29%2F%28x%2B2%29%29 = 7%2F5


Take the reciprocal of the denomiator in the left hand side and multiply with the numerator.....


+%28x%2F%285x%2B10%29%29+%2A+%28%28x%2B2%29%2F%28x-3%29%29 = 7%2F5


==> +%28x%2F%285%28x%2B2%29%29%29+%2A+%28%28x%2B2%29%2F%28x-3%29%29 = 7%2F5



Here (x+2) is common in both the numerator and denominator...so they will get cancelled.....


==> +%28x%2F5%29+%2A+%281%2F%28x-3%29%29 = 7%2F5




==> +%28x%2F5%28x-3%29%29 = +7%2F5



Here 5 is common in the denominator of both sides of the expression, so they will get cancelled......

==> +%28x%2F%28x-3%29%29 = +7%2F1




Now multiply the whole expression by 1* (x-3)...that is the whole terms in the denominators (both sides)


==> +%28%28x%2A%28x-3%29%29%2F%28x-3%29%29 = +%287%2A%28x-3%29%29%2F1



==> +%28%28x%29%2F1%29 = +%287%2A%28x-3%29%29%2F1


==> x = 7(x-3)


==> x = 7x -21


add 21 to both sides of the expression.....



==> x + 21 = 7x

subtract x from both sides of the expression.....


==> x + 21 - x = 7x - x


==> 21 = 6x


Divide both sides of the expression by 6....


==> +21%2F6+ = x


So solution is x = 21%2F6


Hope you found the explanation useful....


Regards,


Praseena.