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

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Question 85434: Solve. Express your answer in simplest form.
x/5x+10 / x-3/x+2 = 7/5

Answer by praseenakos@yahoo.com(507)   (Show Source): You can put this solution on YOUR website!
Question:

=


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


=


==> =



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


==> =




==> =



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

==> =




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


==> =



==> =


==> 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....


==> = x


So solution is x =


Hope you found the explanation useful....


Regards,


Praseena.






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