Finite Math Examples

$5 x - 3 y + 15 = 0$

Step 1

Find the x-intercepts.

Tap for more steps...

Step 1.1

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x - 3 \cdot 0 + 15 = 0$

Step 1.2

Solve the equation.

Tap for more steps...

Step 1.2.1

Simplify $5 x - 3 \cdot 0 + 15$ .

Tap for more steps...

Step 1.2.1.1

Multiply $- 3$ by $0$ .

$5 x + 0 + 15 = 0$

Step 1.2.1.2

Add $5 x$ and $0$ .

$5 x + 15 = 0$

Step 1.2.2

Subtract $15$ from both sides of the equation.

$5 x = - 15$

Step 1.2.3

Divide each term in $5 x = - 15$ by $5$ and simplify.

Tap for more steps...

Step 1.2.3.1

Divide each term in $5 x = - 15$ by $5$ .

$\frac{5 x}{5} = \frac{- 15}{5}$

Step 1.2.3.2

Simplify the left side.

Tap for more steps...

Step 1.2.3.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.2.3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 15}{5}$

Step 1.2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 15}{5}$

Step 1.2.3.3

Simplify the right side.

Tap for more steps...

Step 1.2.3.3.1

Divide $- 15$ by $5$ .

$x = - 3$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(- 3, 0)$

Step 2

Find the y-intercepts.

Tap for more steps...

Step 2.1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$5 (0) - 3 y + 15 = 0$

Step 2.2

Solve the equation.

Tap for more steps...

Step 2.2.1

Simplify $5 (0) - 3 y + 15$ .

Tap for more steps...

Step 2.2.1.1

Multiply $5$ by $0$ .

$0 - 3 y + 15 = 0$

Step 2.2.1.2

Subtract $3 y$ from $0$ .

$- 3 y + 15 = 0$

Step 2.2.2

Subtract $15$ from both sides of the equation.

$- 3 y = - 15$

Step 2.2.3

Divide each term in $- 3 y = - 15$ by $- 3$ and simplify.

Tap for more steps...

Step 2.2.3.1

Divide each term in $- 3 y = - 15$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 15}{- 3}$

Step 2.2.3.2

Simplify the left side.

Tap for more steps...

Step 2.2.3.2.1

Cancel the common factor of $- 3$ .

Tap for more steps...

Step 2.2.3.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 15}{- 3}$

Step 2.2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 15}{- 3}$

Step 2.2.3.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.3.1

Divide $- 15$ by $- 3$ .

$y = 5$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, 5)$

Step 3

List the intersections.

x-intercept(s): $(- 3, 0)$

y-intercept(s): $(0, 5)$

Step 4