Solve 4x+5/10y=1/2y

$$4 x + \frac { 5 } { 10 } y = \frac { 1 } { 2 } y$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$4x+\frac{1}{2}y=\frac{1}{2}y$$

Subtract \frac{1}{2}y from both sides.

$$4x=\frac{1}{2}y-\frac{1}{2}y$$

Combine \frac{1}{2}y and -\frac{1}{2}y to get 0.

$$4x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 4 is not equal to 0, x must be equal to 0.

$$x=0$$

Solve for y (complex solution)

$$y\in \mathrm{C}$$

$$x=0$$

Solve for y

$$y\in \mathrm{R}$$

$$x=0$$