Find the x and y Intercepts 9x+6y=27

$9 x + 6 y = 27$

Step 1

Find the x-intercepts.

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

$9 x + 6 (0) = 27$

Solve the equation.

Simplify $9 x + 6 (0)$ .

Multiply $6$ by $0$ .

$9 x + 0 = 27$

Add $9 x$ and $0$ .

$9 x = 27$

Divide each term in $9 x = 27$ by $9$ and simplify.

Divide each term in $9 x = 27$ by $9$ .

$\frac{9 x}{9} = \frac{27}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{27}{9}$

Divide $x$ by $1$ .

$x = \frac{27}{9}$

Simplify the right side.

Divide $27$ by $9$ .

$x = 3$

x-intercept(s) in point form.

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

Step 2

Find the y-intercepts.

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

$9 (0) + 6 y = 27$

Solve the equation.

Simplify $9 (0) + 6 y$ .

Multiply $9$ by $0$ .

$0 + 6 y = 27$

Add $0$ and $6 y$ .

$6 y = 27$

Divide each term in $6 y = 27$ by $6$ and simplify.

Divide each term in $6 y = 27$ by $6$ .

$\frac{6 y}{6} = \frac{27}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{27}{6}$

Divide $y$ by $1$ .

$y = \frac{27}{6}$

Simplify the right side.

Cancel the common factor of $27$ and $6$ .

Factor $3$ out of $27$ .

$y = \frac{3 (9)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$y = \frac{3 \cdot 9}{3 \cdot 2}$

Cancel the common factor.

$y = \frac{3 \cdot 9}{3 \cdot 2}$

Rewrite the expression.

$y = \frac{9}{2}$

y-intercept(s) in point form.

y-intercept(s): $(0, \frac{9}{2})$

Step 3

List the intersections.

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

y-intercept(s): $(0, \frac{9}{2})$

Step 4

Find the x and y Intercepts 9x+6y=27

Related Questions

Support LCMGCF.com by disabling your adblocker.