Finite Math Examples

$3 X - 9 y = 3$

Step 1

Subtract $3$ from both sides of the equation.

$3 X - 9 y - 3 = 0$

Step 2

Factor $3$ out of $3 X - 9 y - 3$ .

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Step 2.1

Factor $3$ out of $3 X$ .

$3 (X) - 9 y - 3 = 0$

Step 2.2

Factor $3$ out of $- 9 y$ .

$3 (X) + 3 (- 3 y) - 3 = 0$

Step 2.3

Factor $3$ out of $- 3$ .

$3 (X) + 3 (- 3 y) + 3 (- 1) = 0$

Step 2.4

Factor $3$ out of $3 (X) + 3 (- 3 y)$ .

$3 (X - 3 y) + 3 (- 1) = 0$

Step 2.5

Factor $3$ out of $3 (X - 3 y) + 3 (- 1)$ .

$3 (X - 3 y - 1) = 0$

Step 3

Divide each term in $3 (X - 3 y - 1) = 0$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 (X - 3 y - 1) = 0$ by $3$ .

$\frac{3 (X - 3 y - 1)}{3} = \frac{0}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 (X - 3 y - 1)}{3} = \frac{0}{3}$

Step 3.2.1.2

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

$X - 3 y - 1 = \frac{0}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $0$ by $3$ .

$X - 3 y - 1 = 0$

Step 4

Move all terms not containing $X$ to the right side of the equation.

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Step 4.1

Add $3 y$ to both sides of the equation.

$X - 1 = 3 y$

Step 4.2

Add $1$ to both sides of the equation.

$X = 3 y + 1$