Solve y=2x+24-1/2x+2x+1

$$y = \frac { 2 x + 24 - 1 } { 2 x + 2 x + 1 }$$

Solve for x

$$x=-\frac{y-23}{2\left(2y-1\right)}$$

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

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 4x+1.

$$y\left(4x+1\right)=2x+24-1$$

Use the distributive property to multiply y by 4x+1.

$$4yx+y=2x+24-1$$

Subtract 1 from 24 to get 23.

$$4yx+y=2x+23$$

Subtract 2x from both sides.

$$4yx+y-2x=23$$

Subtract y from both sides.

$$4yx-2x=23-y$$

Combine all terms containing x.

$$\left(4y-2\right)x=23-y$$

Divide both sides by 4y-2.

$$\frac{\left(4y-2\right)x}{4y-2}=\frac{23-y}{4y-2}$$

Dividing by 4y-2 undoes the multiplication by 4y-2.

$$x=\frac{23-y}{4y-2}$$

Divide 23-y by 4y-2.

$$x=\frac{23-y}{2\left(2y-1\right)}$$

Variable x cannot be equal to -\frac{1}{4}.

$$x=\frac{23-y}{2\left(2y-1\right)}\text{, }x\neq -\frac{1}{4}$$

Solve for y

$$y=\frac{2x+23}{4x+1}$$

$$x\neq -\frac{1}{4}$$