Solve 4x*5y/3=5x

$$\frac { 4 x \cdot 5 y } { 3 } = 5 x$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=\frac{3}{4}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$4x\times 5y=15x$$

Multiply 4 and 5 to get 20.

$$20xy=15x$$

Subtract 15x from both sides.

$$20xy-15x=0$$

Combine all terms containing x.

$$\left(20y-15\right)x=0$$

Divide 0 by 20y-15.

$$x=0$$

Solve for y (complex solution)

$$\left\{\begin{matrix}\\y=\frac{3}{4}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$4x\times 5y=15x$$

Multiply 4 and 5 to get 20.

$$20xy=15x$$

Divide both sides by 20x.

$$\frac{20xy}{20x}=\frac{15x}{20x}$$

Dividing by 20x undoes the multiplication by 20x.

$$y=\frac{15x}{20x}$$

Divide 15x by 20x.

$$y=\frac{3}{4}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=\frac{3}{4}\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$4x\times 5y=15x$$

Multiply 4 and 5 to get 20.

$$20xy=15x$$

Subtract 15x from both sides.

$$20xy-15x=0$$

Combine all terms containing x.

$$\left(20y-15\right)x=0$$

Divide 0 by 20y-15.

$$x=0$$

Solve for y

$$\left\{\begin{matrix}\\y=\frac{3}{4}\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$4x\times 5y=15x$$

Multiply 4 and 5 to get 20.

$$20xy=15x$$

Divide both sides by 20x.

$$\frac{20xy}{20x}=\frac{15x}{20x}$$

Dividing by 20x undoes the multiplication by 20x.

$$y=\frac{15x}{20x}$$

Divide 15x by 20x.

$$y=\frac{3}{4}$$