# How do you solve for x in 1/4x = 3y = 4?

Apr 5, 2016

If the question is accurate:
$\textcolor{w h i t e}{\text{XXX}} x = 16$

#### Explanation:

If the equation really is $\frac{1}{4} x = 3 y = 4$
the $\left(= 3 y\right)$ is redundant in finding the value of $x$
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{4} x = 4$
after multiplying both sides by $4$
$\textcolor{w h i t e}{\text{XXX}} x = 16$

If the first equal sign was intended to be a plus (they are on the same key on my keyboard)
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{4} x + 3 y = 4$
subtracting $\left(3 y\right)$ from both sides:
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{4} x = 4 - 3 y$
then multiplying both sides by $4$
$\textcolor{w h i t e}{\text{XXX}} x = 16 - 12 y$

If the second equal sign was intended to be a plus
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{4} x = 3 y + 4$
multiplying both sides by $4$
$\textcolor{w h i t e}{\text{XXX}} x = 12 y + 16$