Finite Math Examples

$x = 3 y$

Step 1

Solve the equation for $y$ .

Tap for more steps...

Step 1.1

Rewrite the equation as $3 y = x$ .

$3 y = x$

Step 1.2

Divide each term in $3 y = x$ by $3$ and simplify.

Tap for more steps...

Step 1.2.1

Divide each term in $3 y = x$ by $3$ .

$\frac{3 y}{3} = \frac{x}{3}$

Step 1.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.2.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{x}{3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{x}{3}$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Tap for more steps...

Step 3.1

Remove parentheses.

$y = \frac{0}{3}$

Step 3.2

Divide $0$ by $3$ .

$y = 0$

Step 3.3

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Tap for more steps...

Step 4.1

Remove parentheses.

$y = \frac{1}{3}$

Step 4.2

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{1}{3})$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Tap for more steps...

Step 5.1

Remove parentheses.

$y = \frac{2}{3}$

Step 5.2

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{2}{3})$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, \frac{1}{3}), (2, \frac{2}{3})$

Step 7