What is the value of ?
(1)
(2)
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Wait, I thought combining them would give me a value? Setting the two equations equal gives x^2 = x, so x = 0 or 1. Two values means not sufficient, right?
yep exactly, two possible values for x means two possible values for xy. that's why it's E
ohhh i totally missed the second solution. thanks!
pretty straightforward once you realize each statement alone gives you a relationship but not an actual number. classic trap to combine and forget there can be two solutions
yea the x^2 = x thing got me too, forgot to factor properly
thanks, helpful
this one felt easier than most DS algebra. just test if each statement pins down one value
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.