Solve 2div1=xdivy+3

$$2 \div 1=x \div y+3$$

Solve for x

$$x=-y$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$y\times 2=x+y\times 3$$

Swap sides so that all variable terms are on the left hand side.

$$x+y\times 3=y\times 2$$

Subtract y\times 3 from both sides.

$$x=y\times 2-y\times 3$$

Combine y\times 2 and -y\times 3 to get -y.

$$x=-y$$

Solve for y

$$y=-x$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$y\times 2=x+y\times 3$$

Subtract y\times 3 from both sides.

$$y\times 2-y\times 3=x$$

Combine y\times 2 and -y\times 3 to get -y.

$$-y=x$$

Divide both sides by -1.

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

Dividing by -1 undoes the multiplication by -1.

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

Divide x by -1.

$$y=-x$$

Variable y cannot be equal to 0.

$$y=-x\text{, }y\neq 0$$