Question

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

Answer 1

(5,1)

is one of infinitely many possible order pairs.

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.

`-x + 6y = 1\\6y = 1 + x\\y = (1+x)/(6)`

Now the equation is easier to interpret.
`y = (1+x)/(6)`

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,
`y = (1 + (5))/(6)= 1`

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.