The equations are
\ (Equation 1)
(Equation 2)
Since
Rewrite the second equation for x.
\Apply addition property of equality: Add 4y to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Now Substitute for x in either equation to find the value of y.
(Equation 1)
(Replace
)
Distribute terms using Distributive property: .
(Multiply:
)
(Add:
)
Apply subtraction property of equality: Subtract 114 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 25.
\ (Cancel common terms)
(Divide:
)
Now
(Replace y by
)
(Multiply:
)
(Subtract:
)
The solution is
The solution is .