Solve x=5/9(y-32)

$$x= \frac{ 5 }{ 9 } (y-32)$$

Solve for y

$$y=\frac{9x}{5}+32$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{5}{9} by y-32.

$$x=\frac{5}{9}y-\frac{160}{9}$$

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

$$\frac{5}{9}y-\frac{160}{9}=x$$

Add \frac{160}{9} to both sides.

$$\frac{5}{9}y=x+\frac{160}{9}$$

Divide both sides of the equation by \frac{5}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{9}y}{\frac{5}{9}}=\frac{x+\frac{160}{9}}{\frac{5}{9}}$$

Dividing by \frac{5}{9} undoes the multiplication by \frac{5}{9}.

$$y=\frac{x+\frac{160}{9}}{\frac{5}{9}}$$

Divide x+\frac{160}{9} by \frac{5}{9} by multiplying x+\frac{160}{9} by the reciprocal of \frac{5}{9}.

$$y=\frac{9x}{5}+32$$

Solve for x

$$x=\frac{5\left(y-32\right)}{9}$$

Solution Steps

Use the distributive property to multiply \frac{5}{9} by y-32.

$$x=\frac{5}{9}y-\frac{160}{9}$$