The equation is .
Write two cases:
\Case-1: a = b
\Case-2: a = b
Solve the equation for Case-2.
\Apply subtraction property of equality: Subtract 5 from each side.
\ (Apply Additive inverse property:
)
(Subtract:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Add: 6 + 5 = 11)
11 = 11 (Absolute value: |11| = 11)
\Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Apply subtraction property of equality: Subtract 5 from each side.
\
(Apply Additive inverse property:
)
(Subtract:
)
(Divide each side by 3)
(Cancel common terms)
Check:
\To check the solution, substitute in original equation.
(Cancel common terms)
(Add:
)
11 = 11 (Absolute value: |11| = 11)
Compare the values the equation is true. is a solution.
The solutions are 2 and .
The solution set is .