What is the ordered pair for x equals y plus 6 and y equals -2-x?

Answer 1

4

Answer 2

If

1. x = y + 6 (which we can now re-write as y = x - 6)

2. y = -2 - x

We now want to do something which will eliminate either the x's or y's so that we only have one variable to worry about at a time.

If we add 1. & 2. together we will eliminate the x's as the x in 1. will cancel out with the -x in 2.

So 1. y = x -6 added to 2. y = -2 - x gives us:

3. 2y = -8

Thus y = -4

We now substitute the value of y back into either 1 or 2.

So substituting y = -4 into 1. gives us

-4 = x - 6

x = -4 + 6

x = 2.

Thus x = 2 and y = -4

Your ordered pair is therefore (2, -4).

(Note: to test we haven't made any errors here simply put both the values back in to 1. & 2. and check that the equations balance.)