Pre-Algebra Examples

$- x + 5 = 10$

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.

$- x = 10 - 5$

Step 1.1.2

Subtract $5$ from $10$ .

$- x = 5$

Step 1.2

Divide each term in $- x = 5$ by $- 1$ and simplify.

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Step 1.2.1

Divide each term in $- x = 5$ by $- 1$ .

$\frac{- x}{- 1} = \frac{5}{- 1}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{5}{- 1}$

Step 1.2.2.2

Divide $x$ by $1$ .

$x = \frac{5}{- 1}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $5$ by $- 1$ .

$x = - 5$

Step 2

Since $x = - 5$ 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.

$\begin{array}{c} x & y \\ - 5 & 0 \\ - 5 & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ - 5 & 0 \\ - 5 & 1 \end{array}$

Step 5