The equation is .
According to division property of equality: if , then
.
(Divide each side by 8)
(Cancel common terms)
(Divide:
)
Write two cases:
\Case-1: a = b
\Case-2: a = b
Solve the equation for Case-2.
\According to addition property of equality: if a = b, then a + c = b + c.
\ (Add 7 to each side)
(Apply Additive inverse property:
)
(Add: 9 + 7 = 16)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(Absolute value: |9| = 9)
72 = 72 (Multiply: )
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\ (Add 7 to each side)
(Apply Additive inverse property:
)
(Subtract:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(Absolute value: |
9| = 9)
72 = 72 (Multiply: )
Compare the values the equation is true. is a solution.
The solutions are 16 and . The solution set is
.