Solve y-y(pi/6)=1(x-pi/6)

$$y - y ( \frac { \pi } { 6 } ) = 1 ( x - \frac { \pi } { 6 } )$$

Solve for x

$$x=-\frac{\pi y}{6}+y+\frac{\pi }{6}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6y-y\pi =6\left(x-\frac{\pi }{6}\right)$$

Use the distributive property to multiply 6 by x-\frac{\pi }{6}.

$$6y-y\pi =6x+6\left(-\frac{\pi }{6}\right)$$

Express 6\left(-\frac{\pi }{6}\right) as a single fraction.

$$6y-y\pi =6x+\frac{-6\pi }{6}$$

Cancel out 6 and 6.

$$6y-y\pi =6x-\pi$$

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

$$6x-\pi =6y-y\pi$$

Add \pi to both sides.

$$6x=6y-y\pi +\pi$$

Reorder the terms.

$$6x=-\pi y+6y+\pi$$

The equation is in standard form.

$$6x=\pi +6y-\pi y$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{\pi +6y-\pi y}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{\pi +6y-\pi y}{6}$$

Divide -\pi y+6y+\pi by 6.

$$x=-\frac{\pi y}{6}+y+\frac{\pi }{6}$$

Solve for y

$$y=-\frac{\pi -6x}{6-\pi }$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6y-y\pi =6\left(x-\frac{\pi }{6}\right)$$

Use the distributive property to multiply 6 by x-\frac{\pi }{6}.

$$6y-y\pi =6x+6\left(-\frac{\pi }{6}\right)$$

Express 6\left(-\frac{\pi }{6}\right) as a single fraction.

$$6y-y\pi =6x+\frac{-6\pi }{6}$$

Cancel out 6 and 6.

$$6y-y\pi =6x-\pi$$

Reorder the terms.

$$-\pi y+6y=6x-\pi$$

Combine all terms containing y.

$$\left(-\pi +6\right)y=6x-\pi$$

The equation is in standard form.

$$\left(6-\pi \right)y=6x-\pi$$

Divide both sides by -\pi +6.

$$\frac{\left(6-\pi \right)y}{6-\pi }=\frac{6x-\pi }{6-\pi }$$

Dividing by -\pi +6 undoes the multiplication by -\pi +6.

$$y=\frac{6x-\pi }{6-\pi }$$