Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { l }
3 x - 2 y = 1 \
9 x - 6 y = 7
\end{array} \right)$$
A) $\{ ( x , y ) \mid 3 x - 2 y = 1 \}$
B) $( - 7,7 )$
C) $( 7,6 )$
D) $( 4 , - 3 )$
E) inconsistent

Question

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { l } 
3 x - 2 y = 1 \
9 x - 6 y = 7
\end{array} \right)$$
A) $\{ ( x , y ) \mid 3 x - 2 y = 1 \}$
B) $( - 7,7 )$
C) $( 7,6 )$
D) $( 4 , - 3 )$
E) inconsistent

Quizplus · Accepted Answer

The second equation is a multiple of the first (multiplied by 3), but the constants do not have the same relationship (1*3 ≠ 7), indicating the system is inconsistent.

Solve Each System by Using Either the Substitution or the Elimination-By-Addition