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 .