Pre-Algebra Examples

$\frac{1}{2} x - 3 = 2$

Step 1

Solve for $y$ .

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Step 1.1

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

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Step 1.1.1

Add $3$ to both sides of the equation.

$\frac{x}{2} = 2 + 3$

Step 1.1.2

Add $2$ and $3$ .

$\frac{x}{2} = 5$

Step 1.2

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot 5$

Step 1.3

Simplify both sides of the equation.

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Step 1.3.1

Simplify the left side.

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Step 1.3.1.1

Cancel the common factor of $2$ .

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Step 1.3.1.1.1

Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot 5$

Step 1.3.1.1.2

Rewrite the expression.

$x = 2 \cdot 5$

Step 1.3.2

Simplify the right side.

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Step 1.3.2.1

Multiply $2$ by $5$ .

$x = 10$

Step 2

Since $x = 10$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ 10 & 0 \\ 10 & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 10 & 0 \\ 10 & 1 \end{array}$

Step 5