Solve 361x:y=2:3quade

$$361 x : y = 2 : 3 \quad e$$

Solve for x

$$x=\frac{2ey}{1083}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3y, the least common multiple of y,3.

$$3\times 361x=\frac{2}{3}e\times 3y$$

Multiply 3 and 361 to get 1083.

$$1083x=\frac{2}{3}e\times 3y$$

Multiply \frac{2}{3} and 3 to get 2.

$$1083x=2ey$$

Divide both sides by 1083.

$$\frac{1083x}{1083}=\frac{2ey}{1083}$$

Dividing by 1083 undoes the multiplication by 1083.

$$x=\frac{2ey}{1083}$$

Solve for y

$$y=\frac{1083x}{2e}$$

$$x\neq 0$$

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 3y, the least common multiple of y,3.

$$3\times 361x=\frac{2}{3}e\times 3y$$

Multiply 3 and 361 to get 1083.

$$1083x=\frac{2}{3}e\times 3y$$

Multiply \frac{2}{3} and 3 to get 2.

$$1083x=2ey$$

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

$$2ey=1083x$$

Divide both sides by 2e.

$$\frac{2ey}{2e}=\frac{1083x}{2e}$$

Dividing by 2e undoes the multiplication by 2e.

$$y=\frac{1083x}{2e}$$

Variable y cannot be equal to 0.

$$y=\frac{1083x}{2e}\text{, }y\neq 0$$