If we let x equal one of the numbers, and we let y equal the other number, we can define the equation as
. Since we know, though, that the numbers are even and consecutive integers, we can say that
. We can then substitute our new value of y into the first equation which becomes
. It can then be simplified as follows:
.
We have now solved for x, but we still need to know what y is, so we need the equation
which we can evaluate and solve for y.
Now we have the two consecutive even integers whose sum is -134. They are -68 and -66.