Finite Math Examples

$4 x + 3 + 3 y = 15$

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 $x$ .

$4 x + 3 + 3 (0) = 15$

Step 1.2

Solve the equation.

Tap for more steps...

Step 1.2.1

Simplify $4 x + 3 + 3 (0)$ .

Tap for more steps...

Step 1.2.1.1

Multiply $3$ by $0$ .

$4 x + 3 + 0 = 15$

Step 1.2.1.2

Add $4 x + 3$ and $0$ .

$4 x + 3 = 15$

Step 1.2.2

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps...

Step 1.2.2.1

Subtract $3$ from both sides of the equation.

$4 x = 15 - 3$

Step 1.2.2.2

Subtract $3$ from $15$ .

$4 x = 12$

Step 1.2.3

Divide each term in $4 x = 12$ by $4$ and simplify.

Tap for more steps...

Step 1.2.3.1

Divide each term in $4 x = 12$ by $4$ .

$\frac{4 x}{4} = \frac{12}{4}$

Step 1.2.3.2

Simplify the left side.

Tap for more steps...

Step 1.2.3.2.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.2.3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{12}{4}$

Step 1.2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{4}$

Step 1.2.3.3

Simplify the right side.

Tap for more steps...

Step 1.2.3.3.1

Divide $12$ by $4$ .

$x = 3$

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 $y$ .

$4 (0) + 3 + 3 y = 15$

Step 2.2

Solve the equation.

Tap for more steps...

Step 2.2.1

Simplify $4 (0) + 3 + 3 y$ .

Tap for more steps...

Step 2.2.1.1

Multiply $4$ by $0$ .

$0 + 3 + 3 y = 15$

Step 2.2.1.2

Add $0$ and $3$ .

$3 + 3 y = 15$

Step 2.2.2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.2.2.1

Subtract $3$ from both sides of the equation.

$3 y = 15 - 3$

Step 2.2.2.2

Subtract $3$ from $15$ .

$3 y = 12$

Step 2.2.3

Divide each term in $3 y = 12$ by $3$ and simplify.

Tap for more steps...

Step 2.2.3.1

Divide each term in $3 y = 12$ by $3$ .

$\frac{3 y}{3} = \frac{12}{3}$

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.

$\frac{3 y}{3} = \frac{12}{3}$

Step 2.2.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{12}{3}$

Step 2.2.3.3

Simplify the right side.

Tap for more steps...

Step 2.2.3.3.1

Divide $12$ by $3$ .

$y = 4$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, 4)$

Step 3

List the intersections.

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

y-intercept(s): $(0, 4)$

Step 4