Q62. - Algebra 2

Question

Solve each equation or formula for the specified variable. 

$x=\frac{y}{y+4}$, for y.

Step-by-Step Solution

Answer

The required answer is $xy+4x=y$.

Step 1- Determine the approach that can be used

Multiplication of the denominator $y+4$ on both the sides will help to isolate the variable y.

Step 2- Isolate the variable y

Perform multiplication of $y+4$ on both the sides of the equation.

$\begin{array}{c}x\left(y+4\right)=\frac{y}{y+4}\left(y+4\right)\\ xy+4x=y\end{array}$

Step 3- Make the conclusion

As the variable y is isolated so the value equivalent to it represents its value.