Pre-Algebra Examples

$2 x + 5 = 6$

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

Subtract $5$ from both sides of the equation.

$2 x = 6 - 5$

Step 1.1.2

Subtract $5$ from $6$ .

$2 x = 1$

Step 1.2

Divide each term in $2 x = 1$ by $2$ and simplify.

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Step 1.2.1

Divide each term in $2 x = 1$ by $2$ .

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

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $2$ .

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Step 1.2.2.1.1

Cancel the common factor.

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

Step 1.2.2.1.2

Divide $x$ by $1$ .

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

Step 2

Since $x = \frac{1}{2}$ 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.

$\begin{array}{c} x & y \\ \frac{1}{2} & 0 \\ \frac{1}{2} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{1}{2} & 0 \\ \frac{1}{2} & 1 \end{array}$

Step 5