Solve 6y=3/2x

$$6 y = \frac { 3 } { 2 } x$$

Solve for x

$$x=4y$$

Steps for Solving Linear Equation

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

$$\frac{3}{2}x=6y$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{6y}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$x=\frac{6y}{\frac{3}{2}}$$

Divide 6y by \frac{3}{2} by multiplying 6y by the reciprocal of \frac{3}{2}.

$$x=4y$$

Solve for y

$$y=\frac{x}{4}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$6y=\frac{3x}{2}$$

Divide both sides by 6.

$$\frac{6y}{6}=\frac{3x}{2\times 6}$$

Dividing by 6 undoes the multiplication by 6.

$$y=\frac{3x}{2\times 6}$$

Divide \frac{3x}{2} by 6.

$$y=\frac{x}{4}$$