The equations are
\ (Equation 1)
(Equation 2)
Since , substitute
for y in the second equation.
(Equation 2)
(Replace
)
Distribute terms using distributive property: .
(Multiply:
)
(Add:
)
Apply subtraction property of equality: Subtract 48 from each side.
\Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by 8)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
Now Substitute 5 for y in either equation to find the value of x.
\ (Equation 1)
(Replace y by 5)
(Multiply:
)
(Subtract:
)
The solution is
The solution is .