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

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Jan 11, 2017

Answer:

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)

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