Finite Math Examples

$x + 2 y = 12$ , $x - y = 0$ , $y = 0$

Step 1

Replace all occurrences of $y$ with $0$ in each equation.

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Step 1.1

Replace all occurrences of $y$ in $x + 2 y = 12$ with $0$ .

$x + 2 (0) = 12$

$y = 0$

$x - y = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $x + 2 (0)$ .

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Step 1.2.1.1

Multiply $2$ by $0$ .

$x + 0 = 12$

$y = 0$

$x - y = 0$

Step 1.2.1.2

Add $x$ and $0$ .

$x = 12$

$y = 0$

$x - y = 0$

$x = 12$

$y = 0$

$x - y = 0$

$x = 12$

$y = 0$

$x - y = 0$

Step 1.3

Replace all occurrences of $y$ in $x - y = 0$ with $0$ .

$x - (0) = 0$

$x = 12$

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Subtract $0$ from $x$ .

$x = 0$

$x = 12$

$y = 0$

$x = 0$

$x = 12$

$y = 0$

$x = 0$

$x = 12$

$y = 0$

Step 2

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

$(12, 0)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(12, 0)$

Equation Form:

$x = 12, y = 0$

Step 4