Monday

December 22, 2014

December 22, 2014

Posted by **Jen** on Wednesday, August 17, 2011 at 8:19am.

Find the Solution Set

9/|2-5x| - 4/y^2-3y = 5

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

thanks!

- Math -
**bobpursley**, Wednesday, August 17, 2011 at 8:55amI think I would eliminate variables.

multiply the first equation by 2/3

multiply the second equation by 4

add the equations.

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 -
**Reiny**, Wednesday, August 17, 2011 at 9:52amThat'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

**Answer this Question**

**Related Questions**

geography - Ms. Sue, I am not home schooled. Our teacher gives us a geography ...

chemistry help - our teacher said on our final chemistry lab test there will be ...

MATH - This is a statistics question: ***(A) Select a random sample of 30 ...

MATH - This is a statistics question: (A) Select a random sample of 30 student ...

introductory algebra - I had these problems on my test and for some reason got ...

eth - how do you think an average american's perceptions of each group are ...

teachers - Why don't most teachers at public schools let us think for ourselves...

ENGLISH - Please read for any errors. And correct them. I really would ...

science - what are the answers to the ecosystems packet for 7th grade in science...

prealgbra - solve by simulating the problem.you have a 5 -question multiple -...