$\"\"$ $\"\"$

\

The equation is $\"\"$ .

\

According to addition property of equality: if a = b, then a + c = b + c.

\

$\"\"$ (Add $\"\"$ to each side)

\

$\"\"$ (Additive inverse property: $\"\"$ )

\

$\"\"$

\

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: $\"\"$ )

\

$\"\"$

\

Find the least common denominator (LCD).

\

Multiples of 4: 4,8,12,16,20,24,28,32,......

\

Multiples of 7: 7,14,21,28,35,.......

\

The least common multiple of 4 and 7 is 28.

\

Rewrite each fraction with a common denominator of 28.

\

$\"\"$ and $\"\"$ \ \

\

$\"\"$

\

$\"\"$ (LCM is 28)

\

$\"\"$ (Multiply: 21 + 12 = 33) $\"\"$

\

According to Multiplication property of equality: if $\"\"$ , then $\"\"$ .

\

$\"\"$ (Multiply each side by 2)

\

$\"\"$ (Cancel common terms)

\

$\"\"$ (Multiply: $\"\"$ )

\

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

\

Check:

\

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

\

$\"\"$

\

$\"\"$ (Multiply: $\"\"$ )

\

$\"\"$ (Multiply: $\"\"$ )

\

$\"\"$

\

Find the least common denominator (LCD).

\

Multiples of 4: 4,8,12,16,20,24,28,32,36,......

\

Multiples of 7: 7,14,21,28,35,.......

\

The least common multiple of 4 and 7 is 28.

\

Rewrite each fraction with a common denominator of 28.

\

$\"\"$ and $\"\"$

\

$\"\"$ (LCM is 28)

\

$\"\"$ (Subtract: 21 $\"\"$ 33 = $\"\"$ 12)

\

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

\

Compare the values, the equation is true. The solution is $\"\"$ . $\"\"$

\

The value of $\"\"$ .