Explanation for Question 34 From the Math (Calc) Section on the 2017 May Sat
Question 34 says in the system of equation above a is a constant such 2 that zero is less than a, which is less than one third. 3 If X comma, Y is a solution to the system of point. 4 So it's more questions. What is one possible value of Y? 5 So when they tell us this inequality for not even an equality, 6 this characteristic, um, for a, 7 all they're saying is that you're able, you can be any number between zero 8 and one third that's non-inclusive. 9 So it can't be zero, or can't be one-third because we don't have any 10 less than or equal to signs. We just have less than signs. 11 So you could choose any value for a, 12 that fits those requirements, which means that your answer is going to be a 13 range of answers. So two people might have different answers and they might both 14 be still be correct. 15 So you contribute everyone for a, 16 I think the easiest thing to choose is eight equals one fourth that meets 17 the requirement of being, um, 18 greater than zero, but less than one third. 19 And it's kind of something more simple than another fraction, 20 but if you want to choose something else, that's totally fine. 21 Now all we do is we plug in one fourth. 22 Whenever we see a, in this equations. So if we have one half X 23 equals a, that really just becomes one half X equals one fourth. 24 And the bottom one, we have X plus Y equals five times one 25 over four. Now we support by the first equation. 26 Um, we multiply both sides by two that cancels out the one half, 2...