The equation is .
Apply addition Property of equality: Add 2 to each side.
\ (Apply additive inverse property:
)
To subtract fractions denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 1: 1,2,3,4,5,6,7............
\Multiples of 7: 7,14,21,28,35,.........
\The least common multiple of 1 and 7 is 7.
\Rewrite each fraction with a common denominator of 7.
\ (LCM is 7)
(Add:
)
Check:
\To check the solution, substitute in original equation.
(
)
(LCM is 7)
(Subtract:
)
Compare the values, the equation is true.
The value of y is .