Does the system have a unique solution, no solution, or many solutions?
-$$\left\{ \begin{array} { l }
2 x + 3 y = 6 \
4 x + 6 y = 12
\end{array} \right.$$
A) No solution
B) A unique solution
C) Many solutions

Question

Does the system have a unique solution, no solution, or many solutions?
-$$\left\{ \begin{array} { l } 
2 x + 3 y = 6 \
4 x + 6 y = 12
\end{array} \right.$$
A) No solution
B) A unique solution
C) Many solutions

Quizplus · Accepted Answer

The second equation is a multiple of the first, indicating the lines are coincident, thus there are infinitely many solutions.

Does the System Have a Unique Solution, No Solution, or Many