Finite Math Examples

$x + 3 y = 5$ , $x - 3 y = 3$ , $y = 0$ , $x = 0$

Step 1

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

Tap for more steps...

Step 1.1

Replace all occurrences of $y$ in $x + 3 y = 5$ with $0$ .

$x + 3 (0) = 5$

$y = 0$

$x - 3 y = 3$

$x = 0$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Simplify $x + 3 (0)$ .

Tap for more steps...

Step 1.2.1.1

Multiply $3$ by $0$ .

$x + 0 = 5$

$y = 0$

$x - 3 y = 3$

$x = 0$

Step 1.2.1.2

Add $x$ and $0$ .

$x = 5$

$y = 0$

$x - 3 y = 3$

$x = 0$

$x = 5$

$y = 0$

$x - 3 y = 3$

$x = 0$

$x = 5$

$y = 0$

$x - 3 y = 3$

$x = 0$

Step 1.3

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

$x - 3 \cdot 0 = 3$

$x = 5$

$y = 0$

$x = 0$

Step 1.4

Simplify the left side.

Tap for more steps...

Step 1.4.1

Simplify $x - 3 \cdot 0$ .

Tap for more steps...

Step 1.4.1.1

Multiply $- 3$ by $0$ .

$x + 0 = 3$

$x = 5$

$y = 0$

$x = 0$

Step 1.4.1.2

Add $x$ and $0$ .

$x = 3$

$x = 5$

$y = 0$

$x = 0$

$x = 3$

$x = 5$

$y = 0$

$x = 0$

$x = 3$

$x = 5$

$y = 0$

$x = 0$

$x = 3$

$x = 5$

$y = 0$

$x = 0$

Step 2

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

$(5, 0)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(5, 0)$

Equation Form:

$x = 5, y = 0$

Step 4