Pre-Algebra Examples

$4 = \frac{3}{16} x - 0.8$

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.

$\frac{3 x}{16} - 0.8 = 4$

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 $0.8$ to both sides of the equation.

$\frac{3 x}{16} = 4 + 0.8$

Step 1.2.2

Add $4$ and $0.8$ .

$\frac{3 x}{16} = 4.8$

Step 1.3

Multiply both sides of the equation by $\frac{16}{3}$ .

$\frac{16}{3} \cdot \frac{3 x}{16} = \frac{16}{3} \cdot 4.8$

Step 1.4

Simplify both sides of the equation.

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Step 1.4.1

Simplify the left side.

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Step 1.4.1.1

Simplify $\frac{16}{3} \cdot \frac{3 x}{16}$ .

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Step 1.4.1.1.1

Cancel the common factor of $16$ .

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Step 1.4.1.1.1.1

Cancel the common factor.

$\frac{16}{3} \cdot \frac{3 x}{16} = \frac{16}{3} \cdot 4.8$

Step 1.4.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{16}{3} \cdot 4.8$

Step 1.4.1.1.2

Cancel the common factor of $3$ .

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Step 1.4.1.1.2.1

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{16}{3} \cdot 4.8$

Step 1.4.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{16}{3} \cdot 4.8$

Step 1.4.1.1.2.3

Rewrite the expression.

$x = \frac{16}{3} \cdot 4.8$

Step 1.4.2

Simplify the right side.

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Step 1.4.2.1

Simplify $\frac{16}{3} \cdot 4.8$ .

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Step 1.4.2.1.1

Multiply $\frac{16}{3} \cdot 4.8$ .

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Step 1.4.2.1.1.1

Combine $\frac{16}{3}$ and $4.8$ .

$x = \frac{16 \cdot 4.8}{3}$

Step 1.4.2.1.1.2

Multiply $16$ by $4.8$ .

$x = \frac{76.8}{3}$

Step 1.4.2.1.2

Divide $76.8$ by $3$ .

$x = 25.6$

Step 2

Since $x = 25.6$ 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.

$\begin{array}{c} x & y \\ 25.6 & 0 \\ 25.6 & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 25.6 & 0 \\ 25.6 & 1 \end{array}$

Step 5