At first glance, this looks like it'll turn into an ugly quadratic equation. Since quadratic tend to give two possible answers, it's tempting to just answer D, and that would be a good guess, but it's not a guarantee, so it's safer to check. And this equation is a quadratic, but since xy = 0, it should be easy to deal with.
If xy = 0, we know that either x or y is 0. Let's try both and see what happens. If x = 0, then plugging that into the first equation gives us:
3y = 8
So y = 8/3. Since x was 0, y is larger.
But let's check to see what happens if y = 0. Plugging that in to the second equation would give us:
2x = 8
So x = 4. Since y was 0, y is still larger. So in both cases, the answer is B. I know that the answer says it's A, but the answer appears to be a typo.
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