Pre-Algebra Examples

$0.2 + 1.1 = 0.5 x - 0.7$

Step 1

Solve for $y$ .

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Step 1.1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$0.5 x - 0.7 = 1.3$

Step 1.2

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

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Step 1.2.1

Add $0.7$ to both sides of the equation.

$0.5 x = 1.3 + 0.7$

Step 1.2.2

Add $1.3$ and $0.7$ .

$0.5 x = 2$

Step 1.3

Divide each term in $0.5 x = 2$ by $0.5$ and simplify.

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Step 1.3.1

Divide each term in $0.5 x = 2$ by $0.5$ .

$\frac{0.5 x}{0.5} = \frac{2}{0.5}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $0.5$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{0.5 x}{0.5} = \frac{2}{0.5}$

Step 1.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{0.5}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Divide $2$ by $0.5$ .

$x = 4$

Step 2

Since $x = 4$ 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.

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

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

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

Step 5