Question

How do you solve `\frac{x}{x-5}=\frac{28}{54}`?

Answer 1

Answer: Use cross-multiplication to eliminate the fractions to solve for `x`

Explanation:

Solve `x/(x-5)=28/54`

We can start by cross-multiplying to eliminate the fractions:
`54x=28(x-5)`

Next, we can distribute the `28` on the right-hand side:
`54x=28x-28(5)=28x-140`

Now, we can isolate the `x` term:
`54x-28x=-140`
`26x=-140`

Finally, we divide both sides by `26` to solve for `x`:
`x=-140/26=-70/13`

Therefore, `x=-70/13`