Solve the system of equations using determinants.
-$$\begin{array} { l }
4 x + y = 15 \
12 x + 3 y = 45
\end{array}$$
A)(0, 15)
B)(5, -5)
C)infinite number of solutions
D)no solution

Question

Solve the system of equations using determinants.
-$$\begin{array} { l } 
4 x + y = 15 \
12 x + 3 y = 45
\end{array}$$
A)(0, 15)
B)(5, -5)
C)infinite number of solutions
D)no solution

Quizplus · Accepted Answer

The system of equations is dependent, meaning both equations represent the same line. This is evident because the second equation is simply the first equation multiplied by 3 (both sides), indicating they have the same solution set, leading to an infinite number of solutions.

Solve the System of Equations Using Determinants 4x+y=1512x+3y=45\begin{array} { l } 4 x + y = 15 \\12 x + 3 y = 45\end{array}4x+y=1512x+3y=45​

Solve the System of Equations Using Determinants $\begin{array} { l } 4 x + y = 15 \\12 x + 3 y = 45\end{array}$