The equation is .
Apply addition Property of equality: Add to each side.
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
To subtract the fractions denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 2: 2,4,6,8,10,12.........
\Multiples of 8: 8,16,24,32.........
\The least common multiple of 2 and 8 is 8.
\Rewrite each fraction with a common denominator of 8.
\
(LCM is 8)
(Add:
)
Check:
\To check the solution, substitute in original equation.
(
)
(Lcm is 8)
(Add:
)
Compare the values, the equation is true.
\The value of a is .