Solve 2/4+6x2^2=2y

$$\frac{ 2 }{ 4 } +6x { 2 }^{ 2 } = 2y$$

Solve for x

$$x=\frac{y}{12}-\frac{1}{48}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+6x\times 2^{2}=2y$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{2}+6x\times 4=2y$$

Multiply 6 and 4 to get 24.

$$\frac{1}{2}+24x=2y$$

Subtract \frac{1}{2} from both sides.

$$24x=2y-\frac{1}{2}$$

Divide both sides by 24.

$$\frac{24x}{24}=\frac{2y-\frac{1}{2}}{24}$$

Dividing by 24 undoes the multiplication by 24.

$$x=\frac{2y-\frac{1}{2}}{24}$$

Divide 2y-\frac{1}{2} by 24.

$$x=\frac{y}{12}-\frac{1}{48}$$

Solve for y

$$y=12x+\frac{1}{4}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+6x\times 2^{2}=2y$$

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{2}+6x\times 4=2y$$

Multiply 6 and 4 to get 24.

$$\frac{1}{2}+24x=2y$$

Swap sides so that all variable terms are on the left hand side.

$$2y=\frac{1}{2}+24x$$

The equation is in standard form.

$$2y=24x+\frac{1}{2}$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{24x+\frac{1}{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{24x+\frac{1}{2}}{2}$$

Divide \frac{1}{2}+24x by 2.

$$y=12x+\frac{1}{4}$$