The system of equations are and
.
Equation (1)
Equation (2)
Solve the second equation for b.
\Apply subtraction property of equality: Subtract 9a from each side.
\\
Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Apply division property of equality: Divide each side by 3.
\\
\
(Cancel common terms)
Substitute in
.
Distribute terms using distributive property: a( b c ) = ab
ac.
(Multiply:
)
(Add:
)
(Subtract 80 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 11.
\ (Cancel common terms)
Now, find the b value by substituting in
.
(Multiply:
)
(Subtract:
)
The system of solution is .