The equation is .
Apply subtraction property of equality: Subtract from each side.
Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply distributive property:
)
(Subtract:
)
(Subtract
from each side)
Apply commutative property of addition: .
(Apply additive inverse property:
)
(Subtract:
)
Apply multiplication property of equality: Multiply each side by negative .
(Cancel common terms)
(Multiply:
)
Check:
\Substitute value in original equation
.
(Multiply:
)
To add the fractions denominators must be equal.
\Find the least common denominator(LCD)
\Multiples of 3: 3,6,9,12,15,18....
\Multiples of 12: 12,24,36,48,60.....
\The least common multiple of 3 and 12 is 12.
Rewrite each fraction with a common denominator of 12.
\ (LCM is 12)
(Add: 8 + 1 = 9 and 5 + 4 = 9)
The equality is true.
The value of .