How do you find the x intercept of $2 x - 6 y = 26$ $2x-6y=26$ ?

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Answer 1 · 2017-01-11T23:08:57

To find the $x$ $x$ intercept set the $y$ $y$ variable to $0$ $0$ and solve for $x$ $x$ . See full process below:

To find the $x$ $x$ intercept, first set the $y$ $y$ variable to $0$ $0$

$2 x + 6 y = 26$ $2x + 6color(red)(y) = 26$ becomes:

$2 x + (6 \times 0) = 26$ $2x + (6 xx color(red)(0)) = 26$

$2 x + 0 = 26$ $2x + 0 = 26$

$2 x = 26$ $2x = 26$

Now, divide each side of the equation by $2$ $color(red)(2)$ to solve for $x$ $x$ and keep the equation balanced:

$\frac{2 x}{2} = \frac{26}{2}$ $(2x)/color(red)(2) = 26/color(red)(2)$

$(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = 13$

$x = 13$

The x-intercept is $13$ or (13,0)

How do you find the x intercept of 2x-6y=262x−6y=262x-6y=26?