Solve 1/2+3/4=x/y

$$\frac { 1 } { 2 } + \frac { 3 } { 4 } = \frac { x } { y }$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4y, the least common multiple of 2,4,y.

$$4y\times \frac{1}{2}+4y\times \frac{3}{4}=4x$$

Multiply 4 and \frac{1}{2} to get 2.

$$2y+4y\times \frac{3}{4}=4x$$

Multiply 4 and \frac{3}{4} to get 3.

$$2y+3y=4x$$

Combine 2y and 3y to get 5y.

$$5y=4x$$

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

$$4x=5y$$

Divide both sides by 4.

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

Dividing by 4 undoes the multiplication by 4.

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

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4y, the least common multiple of 2,4,y.

$$4y\times \frac{1}{2}+4y\times \frac{3}{4}=4x$$

Multiply 4 and \frac{1}{2} to get 2.

$$2y+4y\times \frac{3}{4}=4x$$

Multiply 4 and \frac{3}{4} to get 3.

$$2y+3y=4x$$

Combine 2y and 3y to get 5y.

$$5y=4x$$

Divide both sides by 5.

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

Dividing by 5 undoes the multiplication by 5.

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

Variable y cannot be equal to 0.

$$y=\frac{4x}{5}\text{, }y\neq 0$$