Solve by the elimination method: $$\begin{array} { r }
9 x - 3 y = 6 \
12 x - 4 y = 8
\end{array}$$
A) (0, -2)
B) (-9, -29)
C) (-3, -11)
D) (-6, -20)
E) Dependent. The solutions satisfy the equation $3 x - y = 2$

Question

Solve by the elimination method: $$\begin{array} { r } 
9 x - 3 y = 6 \
12 x - 4 y = 8
\end{array}$$
A) (0, -2)
B) (-9, -29)
C) (-3, -11)
D) (-6, -20)
E) Dependent. The solutions satisfy the equation $3 x - y = 2$

Quizplus · Accepted Answer

The two equations are multiples of each other. Multiplying the first equation by 4/3 gives the second equation, indicating that they are not independent equations but rather the same line represented differently. This means the system is dependent and has infinitely many solutions that satisfy the equation $3x - y = 2$.

Solve by the Elimination Method 9x−3y=612x−4y=8\begin{array} { r } 9 x - 3 y = 6 \\12 x - 4 y = 8\end{array}9x−3y=612x−4y=8​

Solve by the Elimination Method $\begin{array} { r } 9 x - 3 y = 6 \\12 x - 4 y = 8\end{array}$