Solve y(3/2)^2=x/4

$$y ( \frac { 3 } { 2 } ) ^ { 2 } = \frac { x } { 4 }$$

Solve for x

$$x=9y$$

Solution Steps

Multiply both sides of the equation by 4.

$$4y\times \left(\frac{3}{2}\right)^{2}=x$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$4y\times \frac{9}{4}=x$$

Multiply 4 and \frac{9}{4} to get 9.

$$9y=x$$

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

$$x=9y$$

Solve for y

$$y=\frac{x}{9}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$4y\times \left(\frac{3}{2}\right)^{2}=x$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$4y\times \frac{9}{4}=x$$

Multiply 4 and \frac{9}{4} to get 9.

$$9y=x$$

Divide both sides by 9.

$$\frac{9y}{9}=\frac{x}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$y=\frac{x}{9}$$