Solve y-6=2/15(x-5)

$$y - 6 = \frac { 2 } { 15 } ( x - 5 )$$

Solve for x

$$x=\frac{15y}{2}-40$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{15} by x-5.

$$y-6=\frac{2}{15}x-\frac{2}{3}$$

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

$$\frac{2}{15}x-\frac{2}{3}=y-6$$

Add \frac{2}{3} to both sides.

$$\frac{2}{15}x=y-6+\frac{2}{3}$$

Add -6 and \frac{2}{3} to get -\frac{16}{3}.

$$\frac{2}{15}x=y-\frac{16}{3}$$

Divide both sides of the equation by \frac{2}{15}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{15}x}{\frac{2}{15}}=\frac{y-\frac{16}{3}}{\frac{2}{15}}$$

Dividing by \frac{2}{15} undoes the multiplication by \frac{2}{15}.

$$x=\frac{y-\frac{16}{3}}{\frac{2}{15}}$$

Divide y-\frac{16}{3} by \frac{2}{15} by multiplying y-\frac{16}{3} by the reciprocal of \frac{2}{15}.

$$x=\frac{15y}{2}-40$$

Solve for y

$$y=\frac{2\left(x+40\right)}{15}$$

Solution Steps

Use the distributive property to multiply \frac{2}{15} by x-5.

$$y-6=\frac{2}{15}x-\frac{2}{3}$$

Add 6 to both sides.

$$y=\frac{2}{15}x-\frac{2}{3}+6$$

Add -\frac{2}{3} and 6 to get \frac{16}{3}.

$$y=\frac{2}{15}x+\frac{16}{3}$$