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W 8 2 4 [ [ 8 W 2 5 Nic 1 3 + 8 & 1 8 5 3 8 V 8 2 1 : 8 L 3 8 FL...

Question

W 8 2 4 [ [ 8 W 2 5 Nic 1 3 + 8 & 1 8 5 3 8 V 8 2 1 : 8 L 3 8 FL

W 8 2 4 [ [ 8 W 2 5 Nic 1 3 + 8 & 1 8 5 3 8 V 8 2 1 : 8 L 3 8 FL



Answers

$$ \frac{8}{2 w+1}=\frac{3}{w} $$

To play a W into negative three WC here, negative to W plus four. So this will give us neck differently for the Luke you, then a lot of times negative would've level. Give us negatives. Extend Dublin stairs and here w times for will give us last 30 toe W which is that required and so

Welcome W plus eight, divided by W square minus 11. W plus 28 equals five Over W -7 plus two over W minus four. Factoring this and get W signs are the same Multiplies for me 28 and adds give me 11 four and seven. So my common do not. My LCD is gonna be W -4 Times W -7. And when I multiply that times my first fraction I'm gonna be left with W-plus eight equals when I multiply upon my second fraction five times. Oops, W minus four. Last two times W -7 Because the W -4 is cancel out. So now I'm going to distribute. So I have w plus eight Equals five, W -20 Plus two, W -14 seven, w combining my leg terms minus 34 equals W plus eight. So I'm going to subtract the one W here and that's gonna give me six W. And I'm gonna add the 34 And that's going to give me 42, Divide both sides by six And W. Equals seven. Now I go back and check my denominators, so if I put in a seven here, 7 -7 will give me zero. That would make that undefined. So this cannot be a solution, so we do not have there is no solution for this answer.

Harvey asked to solve the given equation. I see we have all these fractions. So to get rid of them, I'm going to multiply each term or each fraction. But I have to include this last term as well by the least common denominator, which in this case is now We'll start with the first fraction. Well, Eco's into 81 time so both of these eights cancel, so we'll just bring down the numerator W ministry Now for our next fraction four goes into 82 times. So the four cancels and the eight becomes a too. But don't forget, there's a negative here, so we have to distribute by. Negative, too. Well, negative. Two times five is negative. 10 and negative, two times negative. W is positive to W now on the right hand side. For the first fraction, it goes into 81 time. So those just cancel and we're just left with the numerator four w minus one. And lastly, we have eight times one, which is going to be in negative eight because we'll bring down the negative side. Well, I see we have, like, terms on both sides of the equation on the left hand side. We have W plus two w, which is Www. And we have negative three minus 10 which is minus 13. And on the right hand side, we have negative one minus eight, which is negative night. So we're gonna have four w minus I. So we're gonna do two steps at once. Here. First, I'm going to get the W's on the same side by subtracting three w. Then I'm gonna get the constants on the same side by adding nine to both sides of the equation so you'll know this. Three w minus street W cancels and negative nine plus nine cancels. So on the left hand side, we have negative 13 plus nine, which is negative for and on the right hand side. We have four w minus three w, which is just w. And now we've solved our equation and the solution is negative for

In this problem. We're gonna solve some linear quit a linear equation, and we're gonna do this by, um, eliminating fractions. There's three fractions here in all three terms. Well, look at all the denominator 34 4 and find out what do they all go into? The L. C M. The least common Multiple 844 All go into eight evenly, so we'll go ahead and multiply every term by eight. Now a divided by 81 here in the first one. So we have the five times to W plus three. A divided by four is too. So we'll have two times five with just 10 w and a divided by four is too. So I have two times three is six times four. Do you? Plus one? Yeah. So let's go and distribute the five into the princes. Five times to W is 10 W in five times. The three is a plus 15. Six times The four w is a 24 W. Six times of one is a plus. Six. Let's combine like terms on the left side. 10 and 10 makes 20. So 20 w Now let's go ahead and get the 24 w on out of here. Let's subtract it off. We have it here and let's get it on to the other side. So 20 minus 24 is a negative four w the 24 W's cancel, and we'll just have a six over here. Now let's subtract 15 on both sides to get the negative four w by itself than 15th Cancel and six minus of 15 would be a negative nine and then by by negative four on both sides to get w equals nine force, or we could do two in 1/4.


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