The equation is .
According to subtraction property of equality: if , then
.
(Subtract 6 from each side) \ \
(Additive inverse property:
)
(Subtract: 10
6 = 4)
According to addition property of equality: if a = b, then a + c = b + c.
\ (Add
to each side)
(Commutative property: a + b = b + a)
(Additive inverse property:
)
(Distributive property: ac
bc = a(b
c))
To add fractions the denominators must be equal.
\Find the least common denominator (LCD).
\Multiples of 5: 5,10,15,20,25,.............
\Multiples of 3: 3,6,9,12,15,18,21,.......
\The least common multiple of 3 and 5 is 15.
\ (LCM is 15)
(Subtract: 6
10 =
4)
(Multiply
by each side)
(Cancel common terms)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Divide:
)
0 = 0 (Additive inverse property: )
The solution is true and the value of .