Solve x+2y+2pix/2=30

$$x+2y+2 \pi \frac{ x }{ 2 } = 30$$

Solve for x

$$x=-\frac{2\left(y-15\right)}{\pi +1}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2x+4y+2\pi x=60$$

Subtract 4y from both sides.

$$2x+2\pi x=60-4y$$

Combine all terms containing x.

$$\left(2+2\pi \right)x=60-4y$$

The equation is in standard form.

$$\left(2\pi +2\right)x=60-4y$$

Divide both sides by 2+2\pi .

$$\frac{\left(2\pi +2\right)x}{2\pi +2}=\frac{60-4y}{2\pi +2}$$

Dividing by 2+2\pi undoes the multiplication by 2+2\pi .

$$x=\frac{60-4y}{2\pi +2}$$

Divide 60-4y by 2+2\pi .

$$x=\frac{2\left(15-y\right)}{\pi +1}$$

Solve for y

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2x+4y+2\pi x=60$$

Subtract 2x from both sides.

$$4y+2\pi x=60-2x$$

Subtract 2\pi x from both sides.

$$4y=60-2x-2\pi x$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{60-2x-2\pi x}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{60-2x-2\pi x}{4}$$

Divide 60-2x-2\pi x by 4.

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