Question

3/a-6 - 1/a-2 =3

Answer 1

first, subtract 1/a from 3/a

Answer 2

2/a-6-2=3
then combine -6 and -2 ------>2/a-8=3

Answer 3

add 8 to both sides
2/a-8+8=3+8=11

Answer 4

2/a=11
multiply both sides by a
2/a*a=11*a

Answer 5

2=11a

Answer 6

divide both sides by 11
2/11=a or a=2/11

Answer 7

is there such answer in your choices?

Answer 8

Well, I believe the question means 3/(a-6) - 1/(a-2) = 3

Answer 9

Multiply both sides by (a-6)(a-2) to get 3(a-2)-(a-6)=3(a-6)(a-2)

Answer 10

Expand and simplify to get 3a^2-24a+36=2a

Answer 11

Take the RHS to the LHS to get 3a^2-26a+36=0

Answer 12

Solve it by quadratic formula to get a = (13-sqrt(61))/3 or a = (13+sqrt(61))/3