SOLUTION: I have 2 problems I need help with please. The first is: 8/y-1/3=5y solve for y. I came up with y=9. Is this correct? The second problem I do not understand. 20/(a^2+a-6) + 6/(a+3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have 2 problems I need help with please. The first is: 8/y-1/3=5y solve for y. I came up with y=9. Is this correct? The second problem I do not understand. 20/(a^2+a-6) + 6/(a+3)      Log On


   

Question 318849: I have 2 problems I need help with please. The first is: 8/y-1/3=5y solve for y. I came up with y=9. Is this correct? The second problem I do not understand. 20/(a^2+a-6) + 6/(a+3) = 5/(a-2) solve for a. Please advise. Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming this is the problem?
8%2Fy-1%2F3=5y+
.
.
.
Plug the solution into the original equation to verify.
8%2F9-1%2F3=5%289%29
24%2F27-9%2F27=45
5%2F9=45
False, so y=9 cannot be the solution.
.
.
.
8%2Fy-1%2F3=5y
Multiply both sides by 3y to get rid of fractions.
24-y=15y%5E2
15y%5E2%2By-24=0
Use the quadratic formula,
y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
y+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A15%2A%28-24%29+%29%29%2F%282%2A15%29+
y+=+%28-1+%2B-+sqrt%28+1%2B1440+%29%29%2F%2830%29+
highlight%28y+=+%28-1+%2B-+sqrt%281441%29%29%2F%2830%29%29+
.
.
.
20%2F%28a%5E2%2Ba-6%29+%2B+6%2F%28a%2B3%29+=+5%2F%28a-2%29+
20%2F%28%28a%2B3%29%28a-2%29%29+%2B+6%2F%28a%2B3%29+=+5%2F%28a-2%29+
Multiply both sides by %28a%2B3%29%28a-2%29
20+%2B+6%28a%2B2%29+=+5%28a%2B3%29+
20%2B6a-12=5a%2B15
6a%2B8=5a%2B15
highlight%28a=7%29