Solve 0.75=frac{ysqrt{2}}{x}

$$0.75= \frac{ y \sqrt{ 2 } }{ x }$$

Solve for x

$$x=\frac{4\sqrt{2}y}{3}$$

$$y\neq 0$$

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 x.

$$0.75x=y\sqrt{2}$$

The equation is in standard form.

$$0.75x=\sqrt{2}y$$

Divide both sides of the equation by 0.75, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.75x}{0.75}=\frac{\sqrt{2}y}{0.75}$$

Dividing by 0.75 undoes the multiplication by 0.75.

$$x=\frac{\sqrt{2}y}{0.75}$$

Divide y\sqrt{2} by 0.75 by multiplying y\sqrt{2} by the reciprocal of 0.75.

$$x=\frac{4\sqrt{2}y}{3}$$

Variable x cannot be equal to 0.

$$x=\frac{4\sqrt{2}y}{3}\text{, }x\neq 0$$

Solve for y

$$y=\frac{3\sqrt{2}x}{8}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$0.75x=y\sqrt{2}$$

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

$$y\sqrt{2}=0.75x$$

The equation is in standard form.

$$\sqrt{2}y=\frac{3x}{4}$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}y}{\sqrt{2}}=\frac{3x}{4\sqrt{2}}$$

Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.

$$y=\frac{3x}{4\sqrt{2}}$$

Divide \frac{3x}{4} by \sqrt{2}.

$$y=\frac{3\sqrt{2}x}{8}$$