Question

Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5

Answer 1

Answer:

  (d)  3/5

Step-by-step explanation:

The equation ...

  $\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}$

can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.

  $\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}$

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Additional comment

"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.