Solve 33/16%=x/y

$$\frac{ 33 }{ 16 } \% = \frac{ x }{ y }$$

Solve for x

$$x=\frac{33y}{1600}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100y, the least common multiple of 100,y.

$$y\times \frac{33}{16}=100x$$

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

$$100x=y\times \frac{33}{16}$$

The equation is in standard form.

$$100x=\frac{33y}{16}$$

Divide both sides by 100.

$$\frac{100x}{100}=\frac{33y}{16\times 100}$$

Dividing by 100 undoes the multiplication by 100.

$$x=\frac{33y}{16\times 100}$$

Divide \frac{33y}{16} by 100.

$$x=\frac{33y}{1600}$$

Solve for y

$$y=\frac{1600x}{33}$$

$$x\neq 0$$

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 100y, the least common multiple of 100,y.

$$y\times \frac{33}{16}=100x$$

The equation is in standard form.

$$\frac{33}{16}y=100x$$

Divide both sides of the equation by \frac{33}{16}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{33}{16}y}{\frac{33}{16}}=\frac{100x}{\frac{33}{16}}$$

Dividing by \frac{33}{16} undoes the multiplication by \frac{33}{16}.

$$y=\frac{100x}{\frac{33}{16}}$$

Divide 100x by \frac{33}{16} by multiplying 100x by the reciprocal of \frac{33}{16}.

$$y=\frac{1600x}{33}$$

Variable y cannot be equal to 0.

$$y=\frac{1600x}{33}\text{, }y\neq 0$$