How to solve y = c/x + 2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve y = c/x + 2 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

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

Solve for c

$c=x\left(y-2\right)$
$x\neq 0$

Solution Steps

Multiply both sides of the equation by $x$.

$$yx=c+x\times 2$$

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

$$c+x\times 2=yx$$

Subtract $x\times 2$ from both sides.

$$c=yx-x\times 2$$

Multiply $-1$ and $2$ to get $-2$.

$$c=yx-2x$$

Show Solution

Solve for x

$\left\{\begin{matrix}x=-\frac{c}{2-y}\text{, }&c\neq 0\text{ and }y\neq 2\\x\neq 0\text{, }&y=2\text{ and }c=0\end{matrix}\right.$

Steps for Solving Linear Equation

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

$$yx=c+x\times 2$$

Subtract $x\times 2$ from both sides.

$$yx-x\times 2=c$$

Multiply $-1$ and $2$ to get $-2$.

$$yx-2x=c$$

Combine all terms containing $x$.

$$\left(y-2\right)x=c$$

Divide both sides by $y-2$.

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

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

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

Variable $x$ cannot be equal to $0$.

$$x=\frac{c}{y-2}\text{, }x\neq 0$$