The equation is .
(Distribute z)
Find the Least Common Denominator (LCD) of improper fraction and
.
Find the Least Common Multiple of 7 and 3.
\Multiples of 7:
Multiples of 3:
The least common multiple of 3 and 7 is 21, the LCD is 21.
\Rewrite each fraction using the least common denominator (LCD).
\ and
Rewrite the sum using the LCD.
\\
(Add:
)
According to multiplication property of equality: Multiply each side by 21.
\ (Cancel common terms)
(Divide each side by 26)
(Cancel common terms)
(Cancel common terms)
Verify:
\To check the solution, substitute in original equation.
(Substitute
)
(Cancel common terms)
(Multiply:
)
(Add:
)
Compare the values, the equation is true. The solution is .
The value of .