Solve x-2y-3=x+3y-4

$$x-2y-3=x+3y-4$$

Solve for y

$$y = \frac{1}{5} = 0.2$$

Steps for Solving Linear Equation

Subtract 3y from both sides.

$$x-2y-3-3y=x-4$$

Combine -2y and -3y to get -5y.

$$x-5y-3=x-4$$

Subtract x from both sides.

$$-5y-3=x-4-x$$

Combine x and -x to get 0.

$$-5y-3=-4$$

Add 3 to both sides.

$$-5y=-4+3$$

Add -4 and 3 to get -1.

$$-5y=-1$$

Divide both sides by -5.

$$y=\frac{-1}{-5}$$

Fraction \frac{-1}{-5} can be simplified to \frac{1}{5} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1}{5}$$

Solve for x (complex solution)

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

$$y = \frac{1}{5} = 0.2$$

Solve for x

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

$$y = \frac{1}{5} = 0.2$$