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| PAGE: 354 | SET: Exercises | PROBLEM: 44 |
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 .
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