Solve y-9=5/18(x-5)

$$y - 9 = \frac { 5 } { 18 } ( x - 5 )$$

Solve for x

$$x=\frac{18y-137}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{5}{18} by x-5.

$$y-9=\frac{5}{18}x-\frac{25}{18}$$

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

$$\frac{5}{18}x-\frac{25}{18}=y-9$$

Add \frac{25}{18} to both sides.

$$\frac{5}{18}x=y-9+\frac{25}{18}$$

Add -9 and \frac{25}{18} to get -\frac{137}{18}.

$$\frac{5}{18}x=y-\frac{137}{18}$$

Divide both sides of the equation by \frac{5}{18}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{18}x}{\frac{5}{18}}=\frac{y-\frac{137}{18}}{\frac{5}{18}}$$

Dividing by \frac{5}{18} undoes the multiplication by \frac{5}{18}.

$$x=\frac{y-\frac{137}{18}}{\frac{5}{18}}$$

Divide y-\frac{137}{18} by \frac{5}{18} by multiplying y-\frac{137}{18} by the reciprocal of \frac{5}{18}.

$$x=\frac{18y-137}{5}$$

Solve for y

$$y=\frac{5x+137}{18}$$

Solution Steps

Use the distributive property to multiply \frac{5}{18} by x-5.

$$y-9=\frac{5}{18}x-\frac{25}{18}$$

Add 9 to both sides.

$$y=\frac{5}{18}x-\frac{25}{18}+9$$

Add -\frac{25}{18} and 9 to get \frac{137}{18}.

$$y=\frac{5}{18}x+\frac{137}{18}$$