SOLUTION: This problem is from University of Phoenix MathZone. Solve: (the following are fractions) ____X-1____ = ____6____ X-7 X-7 The think the first thing to do i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This problem is from University of Phoenix MathZone. Solve: (the following are fractions) ____X-1____ = ____6____ X-7 X-7 The think the first thing to do i      Log On


   

Question 143681: This problem is from University of Phoenix MathZone.
Solve: (the following are fractions)
____X-1____ = ____6____
X-7 X-7
The think the first thing to do is multiply both sides by the LCD. But since the denominators are the same I don't know if I'm figuring this correctly.
I am coming up the with answer of x=5, but I'm not sure if that is right.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-1%29%2F%28x-7%29=%286%29%2F%28x-7%29 Start with the given equation


cross%28x-7%29%28%28x-1%29%2Fcross%28x-7%29%29=cross%28x-7%29%28%286%29%2Fcross%28x-7%29%29 Multiply both sides by the LCD x-7. This will clear the fractions


x-1=6 Simplify


x=6%2B1Add 1 to both sides


x=7 Combine like terms on the right side



So the possible answer is x=7



However, we must check our answer


Check:


%28x-1%29%2F%28x-7%29=%286%29%2F%28x-7%29 Start with the given equation


%287-1%29%2F%287-7%29=%286%29%2F%287-7%29 Plug in x=7


%286%29%2F%280%29=%286%29%2F%280%29 Subtract. Since division by zero is undefined (ie not possible), this means that x=7 is not a solution.




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Answer:


So there are no solutions to the equation %28x-1%29%2F%28x-7%29=%286%29%2F%28x-7%29