Solve 98:x=5432:y

$$98 : x = 5432 : y$$

Solve for x

$$x=\frac{7y}{388}$$

$$y\neq 0$$

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 xy, the least common multiple of x,y.

$$y\times 98=x\times 5432$$

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

$$x\times 5432=y\times 98$$

The equation is in standard form.

$$5432x=98y$$

Divide both sides by 5432.

$$\frac{5432x}{5432}=\frac{98y}{5432}$$

Dividing by 5432 undoes the multiplication by 5432.

$$x=\frac{98y}{5432}$$

Divide 98y by 5432.

$$x=\frac{7y}{388}$$

Variable x cannot be equal to 0.

$$x=\frac{7y}{388}\text{, }x\neq 0$$

Solve for y

$$y=\frac{388x}{7}$$

$$x\neq 0$$

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 xy, the least common multiple of x,y.

$$y\times 98=x\times 5432$$

The equation is in standard form.

$$98y=5432x$$

Divide both sides by 98.

$$\frac{98y}{98}=\frac{5432x}{98}$$

Dividing by 98 undoes the multiplication by 98.

$$y=\frac{5432x}{98}$$

Divide 5432x by 98.

$$y=\frac{388x}{7}$$

Variable y cannot be equal to 0.

$$y=\frac{388x}{7}\text{, }y\neq 0$$