Finite Math Examples

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

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $3$ .

$3 y = 3 (\frac{1}{3} x + 1)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $3 (\frac{1}{3} x + 1)$ .

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Step 3.1.1

Combine $\frac{1}{3}$ and $x$ .

$3 y = 3 (\frac{x}{3} + 1)$

Step 3.1.2

Apply the distributive property.

$3 y = 3 \frac{x}{3} + 3 \cdot 1$

Step 3.1.3

Cancel the common factor of $3$ .

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Step 3.1.3.1

Cancel the common factor.

$3 y = 3 \frac{x}{3} + 3 \cdot 1$

Step 3.1.3.2

Rewrite the expression.

$3 y = x + 3 \cdot 1$

Step 3.1.4

Multiply $3$ by $1$ .

$3 y = x + 3$

Step 4

Rewrite the equation.

$x + 3 = 3 y$

Step 5

Move all terms containing variables to the left side of the equation.

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Step 5.1

Subtract $3 y$ from both sides of the equation.

$x + 3 - 3 y = 0$

Step 5.2

Move $3$ .

$x - 3 y + 3 = 0$

Step 6

Subtract $3$ from both sides of the equation.

$x - 3 y = - 3$

Step 7