The equation is .
Solve the equation.
\ (Original equation)
(LCM is
)
(Cross product)
(Apply distributive property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Factors)
and
(Separate solutions)
and
(Simplify)
Check:
\case(i):
(Original equation)
(Substitute
in the equation)
(Simplify)
(Simplify)
case(ii):
(Original equation)
(Substitute
in the equation)
(Simplify)
(Simplify)
(Simplify)
Therefore, the solutions are and
.
The the solutions are and
.