Question

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

Answer 1

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

Explanation:

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

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

`2x + (6 xx color(red)(0)) = 26`

`2x + 0 = 26`

`2x = 26`

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

`(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)