Solve x+5y=x+y-30

$$x + 5 y = x + y - 30$$

Solve for y

$$y = -\frac{15}{2} = -7\frac{1}{2} = -7.5$$

Steps for Solving Linear Equation

Subtract y from both sides.

$$x+5y-y=x-30$$

Combine 5y and -y to get 4y.

$$x+4y=x-30$$

Subtract x from both sides.

$$4y=x-30-x$$

Combine x and -x to get 0.

$$4y=-30$$

Divide both sides by 4.

$$y=\frac{-30}{4}$$

Reduce the fraction \frac{-30}{4} to lowest terms by extracting and canceling out 2.

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

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$y = -\frac{15}{2} = -7\frac{1}{2} = -7.5$$

Solve for x

$$x\in \mathrm{R}$$

$$y = -\frac{15}{2} = -7\frac{1}{2} = -7.5$$