00:00a divided by b equals c divided by de, which equals e divided by f, which equals 7 divided by 3.
00:032 times a minus c plus 3 times b equals 49.
00:06The question asks what the value of b is, given that 3 times f minus 5.
00:11Guys, let's move our ratio over here.
00:12a divided by b equals c divided by de, which equals e divided by f, which equals 7 divided by 3, not 7 divided by 3.
00:17Really?
00:20Guys, I wanted to draw your attention to something in the equations given here.
00:242 times a minus c plus 3 times e equals... what is that, folks? 49, right?
00:32Okay, so friends, I'd like to write this part like this, using a change feature for easier viewing.
00:40Minus d plus 3 times f equals 5.
00:44Now, when we multiply this part by -1 and then multiply it by -1, do you realize what we get here?
00:52Yes, when I multiply this and also add 2b here, it becomes 2 times b, folks.
01:00So, we'll add +2 times b here too, right?
01:03Yes, and since the 2s are the same, we multiply 2 by 2 in our proportion as well.
01:093 times 3 equals 3e, 3f.
01:11Then look here, if I say 3 times 3 times, doesn't it become like this, guys?
01:172 times a minus c plus 3 times e, what did I do? I added the numerators together completely.
01:23I said this, friends: 2 times b minus d plus 3 times f, which equals 7 divided by 3.
01:29Wouldn't that be possible?
01:30Yes, that was one of our characteristics, our ability to show proportion.
01:34So, using this, couldn't I do this now, friends?
01:36And isn't this equal to that?
01:38Yes, then 49 divided by 5 plus 2 times b equals 7 divided by 3, right?
01:44Yes, now when we find 'b' here, the question is solved.
01:48Divide 1 by 7, that's 7.
01:50When I do the multiplication, it's 5 plus 2 times b, which equals 21.
01:562 times b equals 16. When we move 5 to the other side, our b becomes equal to 16. Dividing both sides by 2 gives us 8.
02:04That's how we find our answer.
02:06Our answer is Denizli 8.
02:082 times dal 2 times b which equals 23.
02:084 times b o
02:081 times b.
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