The system of equations are ,
and
.
Solve the system of equations by elimination method.
\Step 1:
\Eliminate one variable by using two pairs of equations.
\Subtract the 2nd and 3rd equations to eliminate the one variable.
\
Step 2:
\Solve the system of two equations containing and
to find
value.
(Divide each side by
)
(Cancel common terms)
Substitute into any one of the original equation to find
value.
(Third equation)
(Substitute
)
(Multiply)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Step 3:
\Substitute values of and
into one of the original equation to find
value.
(Second equation)
(Substitute
and
)
(Multiply)
(Combine like terms)
(Add
to each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Thereore, the solution is ,
and
.
Check solutions for and
values.
(Second equation)
(Substitute
,
and
)
\
(Multiply)
(Add:
)
The solution of the system is .
The solution of the system is .