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 first equation for a.
\
Apply subtraction property of equality: If a = b then a
b = b
a.
(Subtract b from each side)
(Apply additive inverse property:
)
Substitute
in equation (2).

Distribute terms using distributive property: a(b
c)= ab
ac.

(Add:
)
Apply addition property of equality: If a = b then a + b = b + a.
\
(Add 2b to each side) \ \
(Apply additive identity property:
) \ \
Apply addition property of equality: If a = b then a + b = b + a.
\
(Add 1 to each side)
Apply commutative property of addition:
.

(Apply additive inverse property:
)
(Add: 5 + 1 = 6) \ \
Apply division property of equality: If a = b then
.
(Divide each side by 2)
(Cancel common terms) \ \
(Divide:
)
Substitute
in equation
.

(Add: 8 + 1 = 9)
The solution is
.