Solve 2x-1/y+3=2

$$\frac{ 2x-1 }{ y+3 } =2$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

$$y\neq -3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y+3.

$$2x-1=2\left(y+3\right)$$

Use the distributive property to multiply 2 by y+3.

$$2x-1=2y+6$$

Add 1 to both sides.

$$2x=2y+6+1$$

Add 6 and 1 to get 7.

$$2x=2y+7$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{2y+7}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{2y+7}{2}$$

Divide 2y+7 by 2.

$$x=y+\frac{7}{2}$$

Solve for y

$$y = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

$$x\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Variable y cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by y+3.

$$2x-1=2\left(y+3\right)$$

Use the distributive property to multiply 2 by y+3.

$$2x-1=2y+6$$

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

$$2y+6=2x-1$$

Subtract 6 from both sides.

$$2y=2x-1-6$$

Subtract 6 from -1 to get -7.

$$2y=2x-7$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{2x-7}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{2x-7}{2}$$

Divide 2x-7 by 2.

$$y=x-\frac{7}{2}$$

Variable y cannot be equal to -3.

$$y=x-\frac{7}{2}\text{, }y\neq -3$$