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

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Answer 1 · 2017-02-27T00:40:16

See the entire solution process below:

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

$5 x - y = 3$ $5x - y = 3$ becomes:

$5 x - 0 = 3$ $5x - 0 = 3$

$5 x = 3$ $5x = 3$

$\frac{5 x}{5} = \frac{3}{5}$ $(5x)/color(red)(5) = 3/color(red)(5)$

$(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 3/5$

$x = 3/5$ therefore the $x$ intercept is $3/5$ or $(3/5, 0)$

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

$5x - y = 3$ becomes:

$(5 xx 0) - y = 3$

$0 - y = 3$

$-y = 3$

$color(red)(-1) xx -y = color(red)(-1) xx 3$

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

How do you find the x and y intercepts of 5x-y=35x−y=35x-y=3?