Solve the system. Give your answer as an ordered triple in the form of ( a, b, c ).
$\left\{ \begin{array} { l }
b + 2 c = 10 - a \
a + c = 11 - 2 b \
2 a + b + c = 11
\end{array} \right.$
A) $( 3,3,2 )$
B) $( 3,3,1 )$
C) $( 3,4,2 )$
D) The system is inconsistent.
E) The equations are dependent.

Question

Solve the system. Give your answer as an ordered triple in the form of ( a, b, c ). 
$\left\{ \begin{array} { l } 
b + 2 c = 10 - a \
a + c = 11 - 2 b \
2 a + b + c = 11
\end{array} \right.$
A) $( 3,3,2 )$
B) $( 3,3,1 )$
C) $( 3,4,2 )$
D) The system is inconsistent.
E) The equations are dependent.

Quizplus · Accepted Answer

Solving the system of equations simultaneously, we find that the solution that satisfies all three equations is $a = 3$, $b = 3$, and $c = 2$, which corresponds to the ordered triple $(3, 3, 2)$.

Solve the System {b+2c=10−aa+c=11−2b2a+b+c=11\left\{ \begin{array} { l } b + 2 c = 10 - a \\a + c = 11 - 2 b \\2 a + b + c = 11\end{array} \right.⎩⎨⎧​b+2c=10−aa+c=11−2b2a+b+c=11​

Solve the System $\left\{ \begin{array} { l } b + 2 c = 10 - a \\a + c = 11 - 2 b \\2 a + b + c = 11\end{array} \right.$