# Math

posted by .

Hi. So we had a long test with this question.. I was wondering how to solve it? Coz our teacher didn't discuss the answers.. and most probably we'll have the same type of question during midterms..

Find the Solution Set

9/|2-5x| - 4/y^2-3y = 5
2/|2-5x| + 2/ 3(y^2-3y) = 1/3

thanks!

• Math -

I think I would eliminate variables.

multiply the first equation by 2/3
multiply the second equation by 4

solve for abs(2-5x), you will have two solutions.

Then, put each of those solutions into the first equation, and solve for y.

Get a large blank pad on which to do this problem, and check it twice. You can finally check each solution by substitution into the second equation.

• Math -

That's quite nasty for a test.

I would try the following, along the lines suggested by bobpursley

multiply the first by 2
18/|2-5x| - 8/(y^2-3y) = 10
multiply the second by 9
18/|2-5x| + 6/(y^2-3y) = 3
subtract:
-14/(y^2-3y) = 7
7y^2 - 21y + 14 = 0
y^2 - 3y + 2 = 0
(y-2)(y-1) = 0
y = 2 or y = 1

I will do the y=2

If y = 2 , then
9/|2-5x| - 4/-2 = 5
9/|2-5x| = 3
3/|2-5x| = 1
|2-5x| = 3

case1: 2-5x=3
-5x = 1
x = -1/5

case2:
-2 + 5x = 3
5x = 5
x = 1

so two pairs from that part:
(1,2) and (-1/5, 2)

you do the other two solutions, using y = 1

## Similar Questions

1. ### Algebra

Question 1 Solve using the multiplication principle then graph. -15>-75 Question 2 Translate to an equality. Use the variable x. The number of people in the chess clubi less than or equal to 15. Question 3 Solve using the addition …
2. ### English

Can you please tell me if the following statements regarding school rules are correct?
3. ### chemistry help

our teacher said on our final chemistry lab test there will be a question asking us to convert nanometers to wave numbers, anyone know what the question might be phrased like?
4. ### math

A teacher prepares a test. She gives 5 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 question have 3 chioce and the last 3 have 4 choices. I think this …
5. ### geography

Ms. Sue, I am not home schooled. Our teacher gives us a geography sheet every week and we are to find the answers in our book, encyclopedia, online, or whatever reference material we can. The question about Kabul really had the Soviet …
6. ### prealgbra

solve by simulating the problem.you have a 5 -question multiple -choice test. each question has four chices. you don't know any of the answers. what is the experimental probility that you will guess exactly three out of five question …
7. ### Civics

What limits the amount of legal immigrants to our country?
8. ### Math

This is a really weird question but mom in a dilemma. My economics teacher doesn't post our marks online so idk what mark I'm actually at in his class. Can anyone help me figure out what percent I'm at right now if I give the following …
9. ### Math

Please help!! This is a really weird question but I'm in a dilemma. My economics teacher doesn't post our marks online so idk what mark I'm actually at in his class. Can anyone help me figure out what percent I'm at right now if I …
10. ### Math

Please help!! This is a really weird question but I'm in a dilemma. My economics teacher doesn't post our marks online so idk what mark I'm actually at in his class. Can anyone help me figure out what percent I'm at right now if I …

More Similar Questions