The equations are .
Equation (1)
Equation (2)
Since the coefficient of a is same in both equations, either equation can be used for solution. Solve the second equation for a.
\Apply subtraction property of equality: If a = b then a b = b
a.
Apply addition property of equality: If a = b then a + b = b + a.
\ (Subtract a from each side)
(Apply additive inverse property:
)
Substitute in equation (2).
Distribute terms using distributive property: .
\ (Add:
)
Apply subtraction property of equality: If a = b then a b = b
a.
Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply multiplication property of equality: If a = b then a b = b
a.
(Divide each side by 4)
(Cancel common terms)
Substitute in equation
.
(Add: 8 + 1 = 9)
The solution is .