find three ordered pairs that satisfy the equation x-y=4?

Question

please help

At first I was really confused. But I was reading all your responses and I think I get your explanations. Thank you very much for the valuable info!!!!!!!!

Answer 1

x - y = 4 ==> y = x - 4

Now choose x arbitrarily, and calculate y.

x = -1 ==> y = -1 - 4 = -5 ==> (x, y) = (-1, -5)
x = 0 ==> y = 0 - 4 = -4 ==> (x, y) = (0, -4)
x = 1 ==> y = 1 - 4 = -3 ==> (x, y) = (1, -3)

I deliberately chose values of x with small magnitudes, making the calculation of y as easy as possible.

Answer 2

An ordered pair, in this case, a set of co-ordinates. You're looking for combinations of x and y values which, when plugged into x-y give answers of four.

You can solve this by rearranging the equation.
If you subtract x from both sides and then multiply both sides by -1, you get y = x-4

Now, you can put values into x, and see what y value you'd need to make the equation work.

For example, if x = 0, y = -4. If x = -12, y = -16.

To express it as the ordered pair (x, y), just put the value of x where x is, and the value of y where y is.

So, (0, -4) and (-12, -16). You can make a third on your own... check them by plugging the answers back into the original equation. 0 - -4 = 4.

Hope this helps!

Answer 3

There are millions of them
Pick any numbers you want for x, solve for y
I pick 3, -7 and 11/2
y=x-4, so y = 3-4=-1, -7-4=-11, and 11/2 -8/2=3/2
My ordered pairs are (3,-1),(-7,-11), and (11/2,3/2)
If for some reason you don't like x, then pick any 3 numbers for y and solve for x.
Once you do this a few times, you learn to pick x=0 and y=0, for easy solving.