Find the x and y Intercepts 5x+3y=15

$5 x + 3 y = 15$

Step 1

Find the x-intercepts.

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

$5 x + 3 (0) = 15$

Solve the equation.

Simplify $5 x + 3 (0)$ .

Multiply $3$ by $0$ .

$5 x + 0 = 15$

Add $5 x$ and $0$ .

$5 x = 15$

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

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

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $15$ by $5$ .

$x = 3$

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 $y$ .

$5 (0) + 3 y = 15$

Solve the equation.

Simplify $5 (0) + 3 y$ .

Multiply $5$ by $0$ .

$0 + 3 y = 15$

Add $0$ and $3 y$ .

$3 y = 15$

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

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

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $15$ by $3$ .

$y = 5$

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

Find the x and y Intercepts 5x+3y=15

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