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Problem 1 Problem 1 Problem 1 Problem 1 Problem 1 Problem 1 Problem 1 Problem 1 Problem 2 Problem 2 Problem 2 Problem 2 Problem 2 Problem 2 Problem 2 Problem 2 Problem 3 Problem 3 Problem 3 Problem 3 Problem 3 Problem 3 Problem 3 Problem 3 Problem 4 Problem 4 Problem 4 Problem 4 Problem 4 Problem 4 Problem 4 Problem 4 Problem 5 Problem 5 Problem 5 Problem 5 Problem 5 Problem 5 Problem 5 Problem 5 Problem 6 Problem 6 Problem 6 Problem 6 Problem 6 Problem 6 Problem 6 Problem 6 Problem 7 Problem 7 Problem 7 Problem 7 Problem 7 Problem 7 Problem 7 Problem 7 Problem 8 Problem 8 Problem 8 Problem 8 Problem 8 Problem 8 Problem 8 Problem 8 Problem 9 Problem 9 Problem 9 Problem 9 Problem 9 Problem 9 Problem 9 Problem 9 Problem 10 Problem 10 Problem 10 Problem 10 Problem 10 Problem 10 Problem 10 Problem 10 Problem 11 Problem 11 Problem 11 Problem 11 Problem 11 Problem 11 Problem 11 Problem 11 Problem 12 Problem 12 Problem 12 Problem 12 Problem 12 Problem 12 Problem 12 Problem 12 Problem 13 Problem 13 Problem 13 Problem 13 Problem 13 Problem 13 Problem 13 Problem 13 Problem 14 Problem 14 Problem 14 Problem 14 Problem 14 Problem 14 Problem 14 Problem 14 Problem 15 Problem 15 Problem 15 Problem 15 Problem 15 Problem 15 Problem 15 Problem 15 Problem 16 Problem 16 Problem 16 Problem 16 Problem 16 Problem 16 Problem 16 Problem 17 Problem 17 Problem 17 Problem 17 Problem 17 Problem 17 Problem 17 Problem 17 Problem 18 Problem 18 Problem 18 Problem 18 Problem 18 Problem 18 Problem 18 Problem 18 Problem 19 Problem 19 Problem 19 Problem 19 Problem 19 Problem 19 Problem 19 Problem 19 Problem 20 Problem 20 Problem 20 Problem 20 Problem 20 Problem 20 Problem 20 Problem 20 Problem 21 Problem 21 Problem 21 Problem 21 Problem 21 Problem 21 Problem 21 Problem 21 Problem 22 Problem 22 Problem 22 Problem 22 Problem 22 Problem 22 Problem 22 Problem 22 Problem 23 Problem 23 Problem 23 Problem 23 Problem 23 Problem 23 Problem 23 Problem 23 Problem 24 Problem 24 Problem 24 Problem 24 Problem 24 Problem 24 Problem 24 Problem 24 Problem 25 Problem 25 Problem 25 Problem 25 Problem 25 Problem 25 Problem 25 Problem 25 Problem 26 Problem 26 Problem 26 Problem 26 Problem 26 Problem 26 Problem 26 Problem 26 Problem 27 Problem 27 Problem 27 Problem 27 Problem 27 Problem 27 Problem 27 Problem 27 Problem 28 Problem 28 Problem 28 Problem 28 Problem 28 Problem 28 Problem 28 Problem 28 Problem 29 Problem 29 Problem 29 Problem 29 Problem 29 Problem 29 Problem 29 Problem 29 Problem 30 Problem 30 Problem 30 Problem 30 Problem 30 Problem 30 Problem 30 Problem 30 Problem 31 Problem 31 Problem 31 Problem 31 Problem 31 Problem 31 Problem 31 Problem 31 Problem 32 Problem 32 Problem 32 Problem 32 Problem 32 Problem 32 Problem 32 Problem 32 Problem 33 Problem 33 Problem 33 Problem 33 Problem 33 Problem 33 Problem 33 Problem 33 Problem 34 Problem 34 Problem 34 Problem 34 Problem 34 Problem 34 Problem 34 Problem 34 Problem 35 Problem 35 Problem 35 Problem 35 Problem 35 Problem 35 Problem 35 Problem 35 Problem 36 Problem 36 Problem 36 Problem 36 Problem 36 Problem 36 Problem 36 Problem 36 Problem 37 Problem 37 Problem 37 Problem 37 Problem 37 Problem 37 Problem 37 Problem 37 Problem 37 Problem 38 Problem 38 Problem 38 Problem 38 Problem 38 Problem 38 Problem 38 Problem 38 Problem 38

Problem 33 Hard Difficulty

In the $x y$ -plane, the equations $x+2 y=10$ and
$3 x+6 y=c$ represent the same line for some
constant $c .$ What is the value of $c ?$

Answer

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Video Transcript

So, first of all, if we have the same line, that means that we basically have two lines with the same values of different proportions. That's like saying X plus Y is equal to one, and to expose to y is equal to two so same line but different proportions. So you take this entire equation and divide by two. We'LL get that one. Someone's going on, Line it up, we are exposed to and sequel to ten and three experts. Six. Why is he called to see So going from extra three acts, we clearly multiplied by three and even from two i two six. Why we also multiply by three. So going from ten to see. Also to multiply that by three so ten times three is equal to see which makes see thirty

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