SOLUTION: solve for all values of x that satisfy the equation x/x+3=5/x+7

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Question 120242: solve for all values of x that satisfy the equation x/x+3=5/x+7

Found 2 solutions by madhan_math, MathTherapy:
Answer by madhan_math(34) (Show Source):
You can put this solution on YOUR website!
x/x+3=5/x+7
solution:
Taking x as the L.C.M. of both side then denominator x will be cancelled.
Now we have x+3x=5+7x.
This implies -3x=5.
Therefore x has the value x=-5/3.

Answer by MathTherapy(10801) (Show Source):
You can put this solution on YOUR website!

solve for all values of x that satisfy the equation x/x+3=5/x+7 *************************************************************** The other person who responded saw the equation as: , and ended up with the x-value, . Most likely though, it's , with x(x + 7) = 5(x + 3) ---- Cross-multiplying (x - 3)(x + 5) = 0 x - 3 = 0 OR x + 5 = 0 ----- Setting each FACTOR equal to 0 x = 3 OR x = - 5 Both values for x make the equation true, they are neither - 3 nor - 7, and so, both are VALID/ACCEPTABLE!