Finite Math Examples

$y = \frac{1}{2} x - 4$ , $x = 12$

Step 1

Replace all occurrences of $x$ with $12$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $y = \frac{1}{2} x - 4$ with $12$ .

$y = \frac{1}{2} \cdot (12) - 4$

$x = 12$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify $\frac{1}{2} \cdot (12) - 4$ .

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Step 1.2.1.1

Cancel the common factor of $2$ .

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Step 1.2.1.1.1

Factor $2$ out of $12$ .

$y = \frac{1}{2} \cdot (2 (6)) - 4$

$x = 12$

Step 1.2.1.1.2

Cancel the common factor.

$y = \frac{1}{2} \cdot (2 \cdot 6) - 4$

$x = 12$

Step 1.2.1.1.3

Rewrite the expression.

$y = 6 - 4$

$x = 12$

$y = 6 - 4$

$x = 12$

Step 1.2.1.2

Subtract $4$ from $6$ .

$y = 2$

$x = 12$

$y = 2$

$x = 12$

$y = 2$

$x = 12$

$y = 2$

$x = 12$

Step 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(12, 2)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(12, 2)$

Equation Form:

$x = 12, y = 2$

Step 4