Observe the table:
\Let
be the adult price of admission.
Let
be the student price of admission.
The system of equations that represents the
and
.
Solve the system of equations by elimination method.
\Step 1:
\Subtract the equations to eliminate the one variable.
\
(Divide each side by
)
(Cancel common terms)
Step 2:
\Substitute
into any original equation to find
value.
(First equation)
(Substitute
)
(Multiply)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Therefore, the price of admission for adults is
and for students is
.
The price of admission for adults is
and for students is
.