Exercises 123–125 will help you prepare for the material cover...

Question

Exercises 123–125 will help you prepare for the material covered in the next section. Solve for y : x = 5/y + 4

Accepted Answer

right. The expression for Y. In terms of X, X equals three minus two over square of y plus one. So not just here We have x equals three -2 over the square of y plus one. So you want to go ahead and solve for y. Here let's go in the first move are three over By subtracting three from both sides. I get X -3 equals negative two over Y plus one. Now I'm going to move my negative over by dividing both sides by - and I do that I get negative X plus three equals two over the script of Y plus one which I can rewrite this as three minus X equals two over the square of y plus one. So keep moving. You want to try and get y by itself? I'm gonna multiply both sides Now by the square root of y plus one. Now get rid of it and the fraction on the right side and move it to the left, multiply by the square of y plus one. We will get Square of Y Plus one. It's five x 3 -1 equals two. Now we divide both sides by three -X giving us square root of y plus one equals 2/3 minus x. Now we can take the square of both sets. It would have the square root that ends up with it being y plus one equals 4/3 minus x squared. And now we can go ahead and subtract one from both sides, ticket us, Y equals 4/3 minus x squared minus one. So now we actually have it in terms of why we want to simplify it just a little bit more just so it looks nicer. So let's go in and try and combine our 4/3 minus X squared and r negative one. I'm gonna multiply by one by three minus X squared over three minus X squared. That will allow me to combine my one. We can only multiply something by one and this is technically equal to one. So we should then get white equals 4/3 minus x squared minus three minus x squared on top over three minus X squared on the bottom being combined those with fractions to get four minus three minus x squared over three minus x squared. Now if you notice at the top we actually have a difference of two squares. So a difference of two squares states that if we have a squared plus B squared are two factors are a plus B times a minus B. If you look on the top our four that is equal to two squared And we have a 3 -1 squared. So we got to rewrite this with our difference of two squares a month we will get on top two plus three minus x Times -3 -6. All of that over three months x squared. We can simplify again, we will get two plus three which gives us five minus x And then -3 which gives us negative one and plus X. Because if they carry are negative through the X as well, the fact that by three minus X squared so I'll rewrite this one more time. We would get five minus x Times X -1 over three minus x squared. We can't simplify any further. So this is the answer to our problem. Five minus X times x minus 1/3 minus x squared. So if you look at the answers, answer this problem as answer. D. Okay I hope to help you solve the problem. Thanks for watching. Goodbye.

Exercises 123–125 will help you prepare for the material covered in the next section. Solve for y : x = 5/y + 4

Key Concepts

Solving Equations

Rational Expressions

Inverse Operations

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