Solve y = (2 - x)/(2x + 1) * 4 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Solve for x

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

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{1}{2}$ since division by zero is not defined. Multiply both sides of the equation by $2x+1$.

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

Use the distributive property to multiply $y$ by $2x+1$.

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

Add $x$ to both sides.

$$2yx+y+x=2$$

Subtract $y$ from both sides.

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

Combine all terms containing $x$.

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

Divide both sides by $2y+1$.

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

Dividing by $2y+1$ undoes the multiplication by $2y+1$.

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

Variable $x$ cannot be equal to $-\frac{1}{2}$.

$$x=\frac{2-y}{2y+1}\text{, }x\neq -\frac{1}{2}$$

Solve for y

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