# How do you find the x and y intercepts of 5x+3y=15?

Apr 7, 2017

$x$ -intercept $= 3$
$y$ -intercept $= 5$

#### Explanation:

$5 x + 3 y = 15$

$x$-intercept, when $y = 0$

$5 x + 3 \left(0\right) = 15$

$5 x = 15$
$x = \frac{15}{5} = 3$

$y$-intercept, when $x = 0$

$5 \left(0\right) + 3 y = 15$
$3 y = 15$
$y = \frac{15}{3} = 5$