Ils the following equation valid?JxjskxJdx x3 'Jz(x) _ 5x2J,6x)-15xJo(x)+15 f Jkx)dxSelleckonel S WTrue MFatseHhinishITION...

Determine whether the given equation is satisfied by the values listed following it. $$11-5 w=-1-w ; \quad w=3,-3$$

So in this question, we are just supposed to check our solution in the problem number 105 showing that it satisfies all the three equations. So we were given the equations 25 x plus 45 plus 23rd and then four X plus two y plus three there Ecuador to 80. This big question number two and then n 30. Question is three eggs plus two y closer equal to 1 80. This is the third question. No, the solution that I had found in problem number 105 ways X equal to 40 by equal to 15 z equals 30. Now we can substitute the values of X Y. Answered any question number one equation number to any question Number three two Find a solution of this problem so far. Equation number one. Therefore, it would be 25 times self 14 plus 40 times of 15 plus 20 times of 30 which is equal to 1000 place, 600 plus 600 which is equal to 1000 plus 1200 which is equal to 2200 which is equal to marriages. Therefore, it satisfies the first equation. All right, So now let us move on to the second equation for the second question so four into X Xs 40 plus two times y, which is 15 mm plus 13 plus 90 which is equal to 1 16 plus 1 20 which is equal to to waiting, which is equal to RHS. Therefore, it also satisfies the equation Number two. So therefore we can proceed with the next question, which is the question number today. So very question number three three into X, which is 40. Yes, two and two. Why? Which is 15 plus dessert, which is 30 which is equal to 1 20. Press 30 press 30 which is equal to vanity which is equal to the RHS or the right hand side before this also satisfies the 30 question. Therefore all the values of X y answered satisfy all the three questions. Thank you, friends. I hope you like the video

So I want to know of this equation. Three z plus two times a minus one equals four z plus two minus Z plus five. It's satisfied by Z equals negative two or Z equals one so I can plug in these values to see if they satisfy this equation. So first we'll start with negative, too. So that will give me three times negative too. Plus two times negative two minus one equals four times negative. Two plus two minus negative. Two plus five. So three times legacy was negative. Six and then negative two minus one is negative. Three so negative. Three times to be a negative six and then NATO too close to a zero. So that list usually is that a zero and then I have negative Two plus five is a positive three, and then it will be negative. So I have a negative three. Negative six minus six is negative. 12. So no Z equals negative. Two is not satisfied by this equation. And then let's try. Z equals one. So have three times one plus two times one minus one equals four times one plus two minus one plus five. Okay, so I have three times one is three one minus 10 So this will hold. Cancel out. And I don't need this plus sign here. So I have one plus two is 33 times four is 12 one plus five with six minus six. So I have three equals six. So no again Z equals one will not satisfy this equation either.

So I want to know if X squared minus five X equals 15 minus three. X Dissatisfied by either X equals zero, our X equals negative three. So I do that by plugging in my exes. So first, let's do X equals zero. So I have zero squared minus five times zero equals 15 minus three times zero. So is Europe's largest zero in the negative. Five times 00 And I have 15 minus three times here, which is zero. So zero does not equal 15. So no, this equation is not satisfied by X equals zero. Now let's try X equals negative three. So I'm negative through squared minus five times negative three equals 15 minus three times negative three. So the negative squared is nine negative. Five times negative. Three is positive. 15 15 0 sorry, then negative. Three times negative. Three is nine a positive nine. So I 15 plus nine which is 24 then another 15 plus line was just 24. So since they're the same, yes, this equation is satisfied by X equals negative three

So this problem I have six minus two w equals 10 minus three w We want to know if w equals negative. Four r w equals one will satisfy this equation. So in order to do that, we're gonna plug in our values. So I have six minus two w, which is negative for equals 10 minus three W, which is negative for so I distribute. So I have six plus eight equals 10 plus 12 6 plus ages 14 10 plus 12 is 22. So no w minus four w equals negative. Four Does not satisfy this equation enough. Let's try w equals one. So I have six times. So I six minus two times one equals 10 minus three times one that will give me six minus two equals 10 minus three, six months to us for 10 miles three or seven. So no w equals one will not satisfy this equation either.