\"\"

\

The equation is \"\".

\

Apply subtraction property of equality: If a = b then a \"\" c = b \"\" c.

\

\"\"       (Subtract \"\" from each side)

\

\"\"                    (Apply additive inverse property: \"\")

\

To add fractions the denominators must be equal.

\

Find the least common denominator (LCD).

\

Multiples of 3: 3, 6, 9, 12, 15, 18, 21,......

\

Multiples of 9: 9, 18, 27, 36, 45, 54,........

\

The least common multiple of 3 and 9 is 9.

\

Rewrite each fraction with a common denominator of 9.

\

\"\"\"\"

\

Rewrite fractions using the LCD 9.

\

\"\"

\

\"\"                        (LCM is 9)

\

\"\"                           (Subtract:  \"\")

\

Apply multiplication property of equality: If a = b then \"\".

\

\"\"       (Multiply each side by negative one)

\

\"\"                                (Product of two same signs is positive)\"\"

\

Check:

\

To check the solution, substitute  \"\" in original equation.

\

\"\"

\

\"\"                         (LCM is 9) \ \

\

\"\"                               (Subtract: 7 \"\" 4 = 3)

\

\"\"                               (Divide: \"\")

\

The statement is true.\"\"

\

The value of \"\".