Question

My answer is B

What is the solution to the rational equation 3/2 - 1/x - 5 = -2/2x - 10?

x = -5/2

Answer 1

\[\frac{3}{2} - \frac{1}{x - 5} = \frac{-2}{2x - 10}\] is my guess, but i could be wrong

Answer 2

@InsanelyChaotic does that look right?

Answer 3

It looks right to me

Answer 4

very good job

Answer 5

then that doesn't have a solution!
how you got x=-5/2 ??

Answer 6

because its in the equation and it's negative!!!....oooops

Answer 7

-5/2 is in the equation ? i don't see it :P

Answer 8

there is no solution, but we can try and solve it and see what happens

Answer 9

subtract on the left and get
\[\frac{3(x-5)-2}{2x-10}\] or
\[\frac{3x-15-2}{2x-5}=\frac{3x-17}{2x-10}\]
then since the denominators are the same on the left and right, you get
\[3x-17=-2\] solve this and get
\[3x-17=-2\]
\[3x=15\]
\[x=5\]

Answer 10

but \(x\) cannot be \(5\) because if \(x\) were \(5\) the denominator would be \(5-5=0\) and you cannot have a zero in the denominator

Answer 11

great info guys....thanks for the explanations and not just flat out answers

Answer 12

yw

Answer 13

i would give a medal to both if i could! xo

Answer 14

i am not here for medals... so you can give to him if you want :)