SOLUTION: 3/c-4 = c-1/c-4 Please solve that rational equation using cross multiplication and lowest common denominator... I see that c-4 is the common denominator but do you still have

Question 456068: 3/c-4 = c-1/c-4
Please solve that rational equation using cross multiplication and lowest common denominator...
I see that c-4 is the common denominator but do you still have to multiply by c-4?
Found 2 solutions by richwmiller, oberobic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
No need to cross multiply.
It is like having 3/x=(c-1)/x

so 3=c-1
c=4
but c cannot equal 4 since it would make c-4=0
and we can't define division by zero
so there is no solution.

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!

Cross multiply.

Do the multiplication by FOIL (first, outside, inside, last)

Add 12 to both sides

Subtract 3c from both sides

So,

Collect like terms

Factor

The only solution is c = 4.
Use a graph to check the answer.

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