Solve (8+x)*y*10%=x*ydiv2

$$(8+x) \times y \times 10 \% =x \times y \div 2$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=2\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100, the least common multiple of 100,2.

$$\left(8+x\right)y\times 10=50xy$$

Use the distributive property to multiply 8+x by y.

$$\left(8y+xy\right)\times 10=50xy$$

Use the distributive property to multiply 8y+xy by 10.

$$80y+10xy=50xy$$

Subtract 50xy from both sides.

$$80y+10xy-50xy=0$$

Combine 10xy and -50xy to get -40xy.

$$80y-40xy=0$$

Subtract 80y from both sides. Anything subtracted from zero gives its negation.

$$-40xy=-80y$$

The equation is in standard form.

$$\left(-40y\right)x=-80y$$

Divide both sides by -40y.

$$\frac{\left(-40y\right)x}{-40y}=-\frac{80y}{-40y}$$

Dividing by -40y undoes the multiplication by -40y.

$$x=-\frac{80y}{-40y}$$

Divide -80y by -40y.

$$x=2$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100, the least common multiple of 100,2.

$$\left(8+x\right)y\times 10=50xy$$

Use the distributive property to multiply 8+x by y.

$$\left(8y+xy\right)\times 10=50xy$$

Use the distributive property to multiply 8y+xy by 10.

$$80y+10xy=50xy$$

Subtract 50xy from both sides.

$$80y+10xy-50xy=0$$

Combine 10xy and -50xy to get -40xy.

$$80y-40xy=0$$

Combine all terms containing y.

$$\left(80-40x\right)y=0$$

Divide 0 by 80-40x.

$$y=0$$

Solve for x

$$\left\{\begin{matrix}\\x=2\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100, the least common multiple of 100,2.

$$\left(8+x\right)y\times 10=50xy$$

Use the distributive property to multiply 8+x by y.

$$\left(8y+xy\right)\times 10=50xy$$

Use the distributive property to multiply 8y+xy by 10.

$$80y+10xy=50xy$$

Subtract 50xy from both sides.

$$80y+10xy-50xy=0$$

Combine 10xy and -50xy to get -40xy.

$$80y-40xy=0$$

Subtract 80y from both sides. Anything subtracted from zero gives its negation.

$$-40xy=-80y$$

The equation is in standard form.

$$\left(-40y\right)x=-80y$$

Divide both sides by -40y.

$$\frac{\left(-40y\right)x}{-40y}=-\frac{80y}{-40y}$$

Dividing by -40y undoes the multiplication by -40y.

$$x=-\frac{80y}{-40y}$$

Divide -80y by -40y.

$$x=2$$

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100, the least common multiple of 100,2.

$$\left(8+x\right)y\times 10=50xy$$

Use the distributive property to multiply 8+x by y.

$$\left(8y+xy\right)\times 10=50xy$$

Use the distributive property to multiply 8y+xy by 10.

$$80y+10xy=50xy$$

Subtract 50xy from both sides.

$$80y+10xy-50xy=0$$

Combine 10xy and -50xy to get -40xy.

$$80y-40xy=0$$

Combine all terms containing y.

$$\left(80-40x\right)y=0$$

Divide 0 by 80-40x.

$$y=0$$