Algebra Examples

$5 x + 25 = 0$

Step 1

Solve for $y$ .

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Step 1.1

Subtract $25$ from both sides of the equation.

$5 x = - 25$

Step 1.2

Divide each term in $5 x = - 25$ by $5$ and simplify.

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Step 1.2.1

Divide each term in $5 x = - 25$ by $5$ .

$\frac{5 x}{5} = \frac{- 25}{5}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $5$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 25}{5}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 25}{5}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $- 25$ by $5$ .

$x = - 5$

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