Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c }
6 x - 2 y = 6 \
12 x - 4 y = - 5
\end{array} \right)$$
A)(1, 2)
B)(3, -1)
C)(3, 2)
D)dependent
E)inconsistent

Question

Solve the system by using either the substitution method or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
6 x - 2 y = 6 \
12 x - 4 y = - 5
\end{array} \right)$$
A)(1, 2)
B)(3, -1)
C)(3, 2)
D)dependent
E)inconsistent

Quizplus · Accepted Answer

The system is inconsistent because the two equations are parallel lines with no points of intersection. Multiplying the first equation by 2 gives the same coefficients for x and y as the second equation, but with different constants, indicating no solution.

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