The equation is .
Case 1: If a = b,Then
\Case 2: If a = b, Then
Solve equation for case 1.
\Apply subtraction property of equality: Subtract 5 from each side.
\ (Apply additive inverse property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 8.
\ (Cancel common terms)
(Divide:
)
Solve equation for case 2.
\Apply subtraction property of equality: Subtract 5 from each side.
\ (Apply additive inverse property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 8.
\ (Cancel common terms)
(Divide:
)
Graph the solution on a number line.
The equality solution set is {2 or 3.25}.