# How do you find the x & y intercept for 5x+3y=30?

Aug 6, 2016

The x-intercept is + 6 and the y-intercept is + 10

$\left(6 , 0\right)$ and $\left(0 , 10\right)$

#### Explanation:

The $x$-intercept is the value for $x$ when $y = 0$, and
the $y$- intercept is the value of $y$ when $x = 0$.

Replace each variable in turn with 0 and solve.

$5 x + 3 y = 30$ Put zero in place of x and solve for y

$5 \left(0\right) + 3 y = 30$

$\frac{3 y}{3}$ = $\frac{30}{3}$

$y = 10$ The y intercept is + 10

$5 x + 3 y = 30$ Put zero in place of y and solve for x

$5 x + 3 \left(0\right) = 30$

$\frac{5 x}{5} = \frac{30}{5}$

$x = 6$ The x intercept is + 6