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

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Jan 11, 2017

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 $0$

$2 x + 6 \textcolor{red}{y} = 26$ becomes:

$2 x + \left(6 \times \textcolor{red}{0}\right) = 26$

$2 x + 0 = 26$

$2 x = 26$

Now, divide each side of the equation by $\textcolor{red}{2}$ to solve for $x$ and keep the equation balanced:

$\frac{2 x}{\textcolor{red}{2}} = \frac{26}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}}} = 13$

$x = 13$

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

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