The equations are
\ (Equation 1)
(Equation 2)
Since ,
Rewrite the first equation for x.
\Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
Now Substitute 6 for x in either equation to find the value of y.
\ (Equation 2)
(Replace x by 6)
Apply subtraction property of equality: Subtract 6 from each side.
\Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 5.
\ (Cancel common terms)
(Divide:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
The solution is
The solution is .