00:00The absolute power of x minus y minus 3 plus the absolute power of 3 times x plus 2 times y minus 9 equals
00:05If x = 0, then the equation asks for the sum of x and y.
00:09Now, friends, when we look at this, x minus y minus 3 in absolute terms plus absolute terms 3 times x plus 2 times
00:18If y minus 9 equals 0, and the sum of two absolute value expressions is 0, what could the contents of these expressions be?
00:25Of course, it can only be 0.
00:28So, this place must be 0, and this place must be 0, so the sum is also 0.
00:32Even if there were 3, it would still be 0.
00:34Even if there were only a few, it would still be 0, friends.
00:36Because the absolute value expression requires at least 0, meaning if it wants 0 here, then it has to be 0 here.
00:40In other words, if you put minus 1 here, for example, if you put plus 1 here, x becomes 1, so the answer becomes 2.
00:45Therefore, this is 0.
00:47So, firstly, if the absolute value of x minus y minus 3 equals 0, how is that possible, guys?
00:54It's the case of having a zero inside, right?
00:56The absolute value, when taken out of the equation, should equal x minus y minus 3.
01:02Secondly, generally, 3 times x plus 2 times y minus 9 must also equal 0.
01:09In this case, the inside is 3 times x plus 2 times y minus 9 equals 0.
01:14What did we come up with here, guys?
01:18x minus y minus y equals 3, I moved minus 3 to this side.
01:21And I also moved 3 times x plus 2 times y equals minus 9 to this side.
01:27It came in as 9.
01:28As you can see, friends, to find the sum of x and y, we actually need to find x and y separately.
01:34So, to do this, we'll add them up side by side.
01:38And what kind of system is this, folks?
01:42A system of first-degree equations with two unknowns has been formed.
01:46So, when I add this up side by side, my friends...
01:48What should we do first?
01:49Let's get rid of y.
01:50Multiply this by 2.
01:51So what happens then, guys?
01:532 times x minus 2 times y equals 6, right?
01:56Yes.
01:57Then wouldn't those two 'y's cancel each other out?
01:59He takes you there.
02:00Why?
02:00Minus 2 times canceled out plus 2 times when adding, side by side.
02:04We'll tidy up this side.
02:05We'll tidy up this side.
02:06Ok.
02:072 times x plus 3 times x.
02:09That's equal to 5 times x.
02:10That's equal to 2 times 3, 6, 9 plus 15.
02:13Our x comes out as 3 here, folks.
02:15We will divide each side into 5 parts.
02:17That's why it becomes x3.
02:19When it becomes x3, if we write this as one equation in our system of equations, right guys?
02:25What will happen?
02:26If we substitute 3 for x, then 3 minus y equals 3.
02:29In our case, the result was 0.
02:31y 0 x 3'müş.
02:33In this case, our x plus y gives us 3 plus 0, which equals 3.
02:38The answer is... well, it's a handicap.
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