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 .