Solve 9/5(x-5)=y

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Add 9 to both sides.

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

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

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

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

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

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

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

Solve for y

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

Solution Steps

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

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

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

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