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

1 Answer
Y
Jan 25, 2018

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#

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