Finite Math Examples

$k x + 6 y = k$

Step 1

Subtract $k$ from both sides of the equation.

$k x + 6 y - k = 0$

Step 2

Subtract $6 y$ from both sides of the equation.

$k x - k = - 6 y$

Step 3

Factor $k$ out of $k x - k$ .

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Step 3.1

Factor $k$ out of $k x$ .

$k (x) - k = - 6 y$

Step 3.2

Factor $k$ out of $- k$ .

$k (x) + k \cdot - 1 = - 6 y$

Step 3.3

Factor $k$ out of $k (x) + k \cdot - 1$ .

$k (x - 1) = - 6 y$

Step 4

Divide each term in $k (x - 1) = - 6 y$ by $x - 1$ and simplify.

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Step 4.1

Divide each term in $k (x - 1) = - 6 y$ by $x - 1$ .

$\frac{k (x - 1)}{x - 1} = \frac{- 6 y}{x - 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $x - 1$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{k (x - 1)}{x - 1} = \frac{- 6 y}{x - 1}$

Step 4.2.1.2

Divide $k$ by $1$ .

$k = \frac{- 6 y}{x - 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$k = - \frac{6 y}{x - 1}$