Finite Math Examples

$y = \frac{1}{4} x + 6$ , $4 y = x + 24$

Step 1

Combine $\frac{1}{4}$ and $x$ .

$y = \frac{x}{4} + 6$

$4 y = x + 24$

Step 2

Replace all occurrences of $y$ with $\frac{x}{4} + 6$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $4 y = x + 24$ with $\frac{x}{4} + 6$ .

$4 (\frac{x}{4} + 6) = x + 24$

$y = \frac{x}{4} + 6$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $4 (\frac{x}{4} + 6)$ .

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Step 2.2.1.1

Apply the distributive property.

$4 (\frac{x}{4}) + 4 \cdot 6 = x + 24$

$y = \frac{x}{4} + 6$

Step 2.2.1.2

Cancel the common factor of $4$ .

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Step 2.2.1.2.1

Cancel the common factor.

$4 (\frac{x}{4}) + 4 \cdot 6 = x + 24$

$y = \frac{x}{4} + 6$

Step 2.2.1.2.2

Rewrite the expression.

$x + 4 \cdot 6 = x + 24$

$y = \frac{x}{4} + 6$

$x + 4 \cdot 6 = x + 24$

$y = \frac{x}{4} + 6$

Step 2.2.1.3

Multiply $4$ by $6$ .

$x + 24 = x + 24$

$y = \frac{x}{4} + 6$

$x + 24 = x + 24$

$y = \frac{x}{4} + 6$

$x + 24 = x + 24$

$y = \frac{x}{4} + 6$

$x + 24 = x + 24$

$y = \frac{x}{4} + 6$

Step 3

Remove any equations from the system that are always true.

$y = \frac{x}{4} + 6$

Step 4