Finite Math Examples

$x + y = 2$ , $3 x + y = 3$ , $x = 0$ , $y = 0$

Step 1

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

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Step 1.1

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

$(0) + y = 2$

$x = 0$

$3 x + y = 3$

$y = 0$

Step 1.2

Simplify the left side.

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Step 1.2.1

Add $0$ and $y$ .

$y = 2$

$x = 0$

$3 x + y = 3$

$y = 0$

$y = 2$

$x = 0$

$3 x + y = 3$

$y = 0$

Step 1.3

Replace all occurrences of $x$ in $3 x + y = 3$ with $0$ .

$3 (0) + y = 3$

$y = 2$

$x = 0$

$y = 0$

Step 1.4

Simplify the left side.

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Step 1.4.1

Simplify $3 (0) + y$ .

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Step 1.4.1.1

Multiply $3$ by $0$ .

$0 + y = 3$

$y = 2$

$x = 0$

$y = 0$

Step 1.4.1.2

Add $0$ and $y$ .

$y = 3$

$y = 2$

$x = 0$

$y = 0$

$y = 3$

$y = 2$

$x = 0$

$y = 0$

$y = 3$

$y = 2$

$x = 0$

$y = 0$

$y = 3$

$y = 2$

$x = 0$

$y = 0$

Step 2

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

$(0, 2)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(0, 2)$

Equation Form:

$x = 0, y = 2$

Step 4