Question

Solve the proportion to determine the value of x.

5x−4/4x+7
=
13/11

Answer 1

\[\frac{5x-4}{4x+11}=\frac{13}{11}\quad :\quad x=\frac{187}{3}\]

Answer 2

How did you get that

Answer 3

\[\frac{5x-4}{4x+11}=\frac{13}{11}\]
\[\mathrm{Multiply\:by\:LCD=}11\left(4x+11\right)\]
\[11\left(5x-4\right)=13\left(4x+11\right)\]
\[\mathrm{Expand}\:11\left(5x-4\right):\quad 55x-44\]
\[\mathrm{Expand}\:13\left(4x+11\right):\quad 52x+143\]
\[55x-44=52x+143\]
add 44 on both sides
\[55x=52x+187\]
subtract 52 on both sides
\[3x=187\]
divided 3 on both sides
x=187/3

Answer 4

are you understand @JayWasHere

Answer 5

What is LCD

Answer 6

Least Common Denominator
fractions have "Common Denominators" when their denominators are the same. the "Least Common Denominator" is the smallest number that can be used for all denominators of 2 or more fractions. It makes it easy to add and subtract the fractions