Substitution:
\Given equations are,
\ ----------(1)
------(2)
The first equation is already solved for y,
\so, substitute for y in the second equation.
(Second equation)
(Substitute
)
(Multiply:
)
(Add:
)
Apply division property of equality: If a = b then .
(Divide each side by 20)
(Cancel common terms)
(Divide:
)
Substitute for x in either equation to find y.
(first equation)
(Substitute
)
(Multiply:
)
The solution is .
Check the solution:
\To check, Substitute and
in either equation.
(first equation)
(Substitute
and
)
(Multiply:
)
The solution is true.
\If the system have only one solution, such as .
If the system have only one solution, such as .