Solve 75*3/2y=75/2x

$$75 \times \frac{ 3 }{ 2 } y= \frac{ 75 }{ 2 } x$$

Solve for x

$$x=3y$$

Steps for Solving Linear Equation

Multiply 75 and \frac{3}{2} to get \frac{225}{2}.

$$\frac{225}{2}y=\frac{75}{2}x$$

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

$$\frac{75}{2}x=\frac{225}{2}y$$

The equation is in standard form.

$$\frac{75}{2}x=\frac{225y}{2}$$

Divide both sides of the equation by \frac{75}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{75}{2}x}{\frac{75}{2}}=\frac{225y}{2\times \frac{75}{2}}$$

Dividing by \frac{75}{2} undoes the multiplication by \frac{75}{2}.

$$x=\frac{225y}{2\times \frac{75}{2}}$$

Divide \frac{225y}{2} by \frac{75}{2} by multiplying \frac{225y}{2} by the reciprocal of \frac{75}{2}.

$$x=3y$$

Solve for y

$$y=\frac{x}{3}$$

Steps for Solving Linear Equation

Multiply 75 and \frac{3}{2} to get \frac{225}{2}.

$$\frac{225}{2}y=\frac{75}{2}x$$

The equation is in standard form.

$$\frac{225}{2}y=\frac{75x}{2}$$

Divide both sides of the equation by \frac{225}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{225}{2}y}{\frac{225}{2}}=\frac{75x}{2\times \frac{225}{2}}$$

Dividing by \frac{225}{2} undoes the multiplication by \frac{225}{2}.

$$y=\frac{75x}{2\times \frac{225}{2}}$$

Divide \frac{75x}{2} by \frac{225}{2} by multiplying \frac{75x}{2} by the reciprocal of \frac{225}{2}.

$$y=\frac{x}{3}$$