Solve {l}{y/a-x=3x+y=x/a}{a+y/x=?}

$$\left. \begin{array} { l } { \frac { y } { a } - x = 3 x + y = \frac { x } { a } } \\ { a + \frac { y } { x } = ? } \end{array} \right.$$

Solve for x

$$x=-\frac{y\left(a-1\right)}{4a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by a.

$$y-xa=3xa+ay$$

Subtract 3xa from both sides.

$$y-xa-3xa=ay$$

Combine -xa and -3xa to get -4xa.

$$y-4xa=ay$$

Subtract y from both sides.

$$-4xa=ay-y$$

The equation is in standard form.

$$\left(-4a\right)x=ay-y$$

Divide both sides by -4a.

$$\frac{\left(-4a\right)x}{-4a}=\frac{y\left(a-1\right)}{-4a}$$

Dividing by -4a undoes the multiplication by -4a.

$$x=\frac{y\left(a-1\right)}{-4a}$$

Divide y\left(-1+a\right) by -4a.

$$x=-\frac{y\left(a-1\right)}{4a}$$