The equations are
\ (Equation 1)
(Equation 2)
Since
Rewrite the first equation for x.
\Apply subtraction property of equality: Subtract 9x from each side.
\Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
Now Substitute for y in either equation to find the value of x.
(Equation 1)
(Replace
)
Distribute terms using distributive property: .
(Multiply:
)
Apply commutative property of addition: .
(Add:
)
Apply addition property of equality: Add 132 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of equality: Divide each side by 41.
\ (Divide each side by 41)
(Cancel common terms)
(Divide:
)
Now
(Replace x by 4)
(Multiply:
)
(Add:
)
The solution is
The solution is .