Question

Solve the rational equation:
7/(s + 8) = −2/(9s + 1)

Answer: s=?

Answer 1

s = (-23/65)

Explanation:

7 -2

------ = -------

(s + 8) (9s + 1)

7 (9s + 1) -2 (s + 8)

------ = -------

(s + 8) (9s + 1) (9s + 1) (s + 8)

7 (9s + 1) -2 (s + 8)

(------------------ = ---------------------) ((9s + 1) (s + 8))

(s + 8) (9s + 1) (9s + 1) (s + 8)

7 (9s + 1) = -2 (s + 8)

63s + 7 = -2s - 16

+2s +2s

65s + 7 = -16

-7 -7

65s = -23

÷65s ÷65s

s = (-23/65)