Solve 3x-(5-x)+2xy=-5

$$3x-(5-x)+2xy=-5$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

To find the opposite of 5-x, find the opposite of each term.

$$3x-5+x+2xy=-5$$

Combine 3x and x to get 4x.

$$4x-5+2xy=-5$$

Add 5 to both sides.

$$4x+2xy=-5+5$$

Add -5 and 5 to get 0.

$$4x+2xy=0$$

Combine all terms containing x.

$$\left(4+2y\right)x=0$$

The equation is in standard form.

$$\left(2y+4\right)x=0$$

Divide 0 by 4+2y.

$$x=0$$

Solve for y (complex solution)

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

Steps for Solving Linear Equation

To find the opposite of 5-x, find the opposite of each term.

$$3x-5+x+2xy=-5$$

Combine 3x and x to get 4x.

$$4x-5+2xy=-5$$

Subtract 4x from both sides.

$$-5+2xy=-5-4x$$

Add 5 to both sides.

$$2xy=-5-4x+5$$

Add -5 and 5 to get 0.

$$2xy=-4x$$

Divide both sides by 2x.

$$\frac{2xy}{2x}=-\frac{4x}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

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

Divide -4x by 2x.

$$y=-2$$

Solve for x

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

Steps for Solving Linear Equation

To find the opposite of 5-x, find the opposite of each term.

$$3x-5+x+2xy=-5$$

Combine 3x and x to get 4x.

$$4x-5+2xy=-5$$

Add 5 to both sides.

$$4x+2xy=-5+5$$

Add -5 and 5 to get 0.

$$4x+2xy=0$$

Combine all terms containing x.

$$\left(4+2y\right)x=0$$

The equation is in standard form.

$$\left(2y+4\right)x=0$$

Divide 0 by 4+2y.

$$x=0$$

Solve for y

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

Steps for Solving Linear Equation

To find the opposite of 5-x, find the opposite of each term.

$$3x-5+x+2xy=-5$$

Combine 3x and x to get 4x.

$$4x-5+2xy=-5$$

Subtract 4x from both sides.

$$-5+2xy=-5-4x$$

Add 5 to both sides.

$$2xy=-5-4x+5$$

Add -5 and 5 to get 0.

$$2xy=-4x$$

Divide both sides by 2x.

$$\frac{2xy}{2x}=-\frac{4x}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

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

Divide -4x by 2x.

$$y=-2$$