The equation is
According to subtraction property of equality: if , then
.
(Subtract 4 from each side)
(Additive inverse property:
)
(Additive identity property:
)
Find the least common denominator (LCD).
\Multiples of 1: 1,2,3,4,5,6,............
\Multiples of 4: 4,8,12,16,20,.........
\The least common multiple of 1 and 4 is 4.
\Rewrite each fraction with a common denominator of 4.
\ (LCM is 4)
(Multiply:
)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
Find the least common denominator (LCD).
\Multiples of 1: 1,2,3,4,5,6,............
\Multiples of 4: 4,8,12,16,20,.........
\The least common multiple of 1 and 4 is 4.
\Rewrite each fraction with a common denominator of 4.
\ (LCM is 4)
(Add:
)
Compare the values, the equation is true.
The value of .