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Find an ordered pair (x,y) that is a solution to the equation -x+6y=1

Sagot :

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.