Solve 4/49=2x/2y

$$\frac{ 4 }{ 49 } = \frac{ 2x }{ 2y }$$

Solve for x

$$x=\frac{4y}{49}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 98y, the least common multiple of 49,2y.

$$8y=49\times 2x$$

Multiply 49 and 2 to get 98.

$$8y=98x$$

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

$$98x=8y$$

Divide both sides by 98.

$$\frac{98x}{98}=\frac{8y}{98}$$

Dividing by 98 undoes the multiplication by 98.

$$x=\frac{8y}{98}$$

Divide 8y by 98.

$$x=\frac{4y}{49}$$

Solve for y

$$y=\frac{49x}{4}$$

$$x\neq 0$$

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 98y, the least common multiple of 49,2y.

$$8y=49\times 2x$$

Multiply 49 and 2 to get 98.

$$8y=98x$$

Divide both sides by 8.

$$\frac{8y}{8}=\frac{98x}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$y=\frac{98x}{8}$$

Divide 98x by 8.

$$y=\frac{49x}{4}$$

Variable y cannot be equal to 0.

$$y=\frac{49x}{4}\text{, }y\neq 0$$