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

##### 1 Answer
Feb 27, 2017

See the entire solution process below:

#### Explanation:

To find the x-intercept set $y$ equal to $0$ and solve for $x$:

$5 x - y = 3$ becomes:

$5 x - 0 = 3$

$5 x = 3$

$\frac{5 x}{\textcolor{red}{5}} = \frac{3}{\textcolor{red}{5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} x}{\cancel{\textcolor{red}{5}}} = \frac{3}{5}$

$x = \frac{3}{5}$ therefore the $x$ intercept is $\frac{3}{5}$ or $\left(\frac{3}{5} , 0\right)$

To find the y-intercept set $x$ equal to $0$ and solve for $y$:

$5 x - y = 3$ becomes:

$\left(5 \times 0\right) - y = 3$

$0 - y = 3$

$- y = 3$

$\textcolor{red}{- 1} \times - y = \textcolor{red}{- 1} \times 3$

$y = - 3$ therefore the $y$ intercept is $- 3$ or $\left(0 , - 3\right)$