Solve x=3+4y/1-5y

$$x= \frac{ 3+4y }{ 1-5y }$$

Solve for y

$$y=\frac{x-3}{5x+4}$$

$$x\neq -\frac{4}{5}$$

Steps for Solving Linear Equation

Variable y cannot be equal to \frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by -5y+1.

$$x\left(-5y+1\right)=3+4y$$

Use the distributive property to multiply x by -5y+1.

$$-5xy+x=3+4y$$

Subtract 4y from both sides.

$$-5xy+x-4y=3$$

Subtract x from both sides.

$$-5xy-4y=3-x$$

Combine all terms containing y.

$$\left(-5x-4\right)y=3-x$$

Divide both sides by -5x-4.

$$\frac{\left(-5x-4\right)y}{-5x-4}=\frac{3-x}{-5x-4}$$

Dividing by -5x-4 undoes the multiplication by -5x-4.

$$y=\frac{3-x}{-5x-4}$$

Divide 3-x by -5x-4.

$$y=-\frac{3-x}{5x+4}$$

Variable y cannot be equal to \frac{1}{5}.

$$y=-\frac{3-x}{5x+4}\text{, }y\neq \frac{1}{5}$$

Solve for x

$$x=\frac{4y+3}{1-5y}$$

$$y\neq \frac{1}{5}$$