Solve 4/13 = x/(20, 4 - k) | 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

$$\frac{4}{13}=\frac{x}{20,4-k}$$

Solve for x

$x=-\frac{4k}{13}+\frac{408}{65}$
$k\neq \frac{102}{5}$

Steps for Solving Linear Equation

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

$$\frac{x}{20,4-k}=\frac{4}{13}$$

The equation is in standard form.

$$\frac{1}{20,4-k}x=\frac{4}{13}$$

Divide both sides by $\left(20,4-k\right)^{-1}$.

$$\frac{\frac{1}{20,4-k}x\left(20,4-k\right)}{1}=\frac{\frac{4}{13}\left(20,4-k\right)}{1}$$

Dividing by $\left(20,4-k\right)^{-1}$ undoes the multiplication by $\left(20,4-k\right)^{-1}$.

$$x=\frac{\frac{4}{13}\left(20,4-k\right)}{1}$$

Divide $\frac{4}{13}$ by $\left(20,4-k\right)^{-1}$.

$$x=-\frac{4k}{13}+\frac{408}{65}$$

Solve for k

$k=-\frac{13x}{4}+20,4$
$x\neq 0$