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Answer:
(5,1)
is one of infinitely many possible order pairs.
Step-by-step explanation:
There are an infinite amount of x values that give you an answer to this question. You get to choose. But first let's start off with isolating y.
[tex]-x + 6y = 1\\6y = 1 + x\\y = \frac{1+x}{6}[/tex]
Now the equation is easier to interpret. [tex]y = \frac{1+x}{6}[/tex]
Now here's the part where you actually get to choose. Take any x, value, I'll choose 5.
I'll sub it into the equation and get my y value, [tex]y = \frac{1 + (5)}{6}= 1[/tex]
Okay, we get that y = 1, when x = 5. That's an ordered pair:
(5,1)
Remember you could follow this same procedure for any x value you choose.