Solve y=2/x+1/4

$$y = \frac { 2 } { x } + \frac { 1 } { 4 }$$

Solve for x

$$x=-\frac{8}{1-4y}$$

$$y\neq \frac{1}{4}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.

$$y\times 4x=4\times 2+4x\times \frac{1}{4}$$

Multiply 4 and 2 to get 8.

$$y\times 4x=8+4x\times \frac{1}{4}$$

Multiply 4 and \frac{1}{4} to get 1.

$$y\times 4x=8+x$$

Subtract x from both sides.

$$y\times 4x-x=8$$

Combine all terms containing x.

$$\left(y\times 4-1\right)x=8$$

The equation is in standard form.

$$\left(4y-1\right)x=8$$

Divide both sides by 4y-1.

$$\frac{\left(4y-1\right)x}{4y-1}=\frac{8}{4y-1}$$

Dividing by 4y-1 undoes the multiplication by 4y-1.

$$x=\frac{8}{4y-1}$$

Variable x cannot be equal to 0.

$$x=\frac{8}{4y-1}\text{, }x\neq 0$$

Solve for y

$$y=\frac{1}{4}+\frac{2}{x}$$

$$x\neq 0$$