Solve y = (x + 1)/(2 - 3x) fur | 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

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

Solve for x

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

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $\frac{2}{3}$ since division by zero is not defined. Multiply both sides of the equation by $-3x+2$.

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

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

$$-3yx+2y=x+1$$

Subtract $x$ from both sides.

$$-3yx+2y-x=1$$

Subtract $2y$ from both sides.

$$-3yx-x=1-2y$$

Combine all terms containing $x$.

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

Divide both sides by $-3y-1$.

$$\frac{\left(-3y-1\right)x}{-3y-1}=\frac{1-2y}{-3y-1}$$

Dividing by $-3y-1$ undoes the multiplication by $-3y-1$.

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

Divide $1-2y$ by $-3y-1$.

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

Variable $x$ cannot be equal to $\frac{2}{3}$.

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

Solve for y

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