Pre-Algebra Examples

$3 x + 2 + x - 6 = 25$

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 $4$ to both sides of the equation.

$4 x = 25 + 4$

Step 1.1.2

Add $25$ and $4$ .

$4 x = 29$

Step 1.2

Divide each term in $4 x = 29$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 x = 29$ by $4$ .

$\frac{4 x}{4} = \frac{29}{4}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{29}{4}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{29}{4}$

Step 2

Since $x = \frac{29}{4}$ 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.

$\begin{array}{c} x & y \\ \frac{29}{4} & 0 \\ \frac{29}{4} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{29}{4} & 0 \\ \frac{29}{4} & 1 \end{array}$

Step 5