Pre-Algebra Examples

$y = \frac{1}{2} x + 2$

Step 1

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

Step 2

Multiply both sides by $2$ .

$2 y = 2 (\frac{1}{2} x + 2)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $2 (\frac{1}{2} x + 2)$ .

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Step 3.1.1

Combine $\frac{1}{2}$ and $x$ .

$2 y = 2 (\frac{x}{2} + 2)$

Step 3.1.2

Apply the distributive property.

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

Step 3.1.3

Cancel the common factor of $2$ .

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Step 3.1.3.1

Cancel the common factor.

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

Step 3.1.3.2

Rewrite the expression.

$2 y = x + 2 \cdot 2$

Step 3.1.4

Multiply $2$ by $2$ .

$2 y = x + 4$

Step 4

Rewrite the equation.

$x + 4 = 2 y$

Step 5

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

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Step 5.1

Subtract $2 y$ from both sides of the equation.

$x + 4 - 2 y = 0$

Step 5.2

Move $4$ .

$x - 2 y + 4 = 0$

Step 6

Subtract $4$ from both sides of the equation.

$x - 2 y = - 4$

Step 7