Solve the system.
-$$\left\{ \begin{array} { r }
3 x + y = 12 \
9 x + 3 y = 36
\end{array} \right.$$
A) $\varnothing$
B) $( 5 , - 3 )$
C) $( 0,12 )$
D) $\{ ( x , y ) \mid 9 x + 3 y = 36 \}$

Question

Solve the system.
-$$\left\{ \begin{array} { r } 
3 x + y = 12 \
9 x + 3 y = 36
\end{array} \right.$$
A) $\varnothing$
B) $( 5 , - 3 )$
C) $( 0,12 )$
D) $\{ ( x , y ) \mid 9 x + 3 y = 36 \}$

Quizplus · Accepted Answer

The second equation is a multiple of the first (multiplied by 3). This means they represent the same line, so there are infinitely many solutions along this line, not just a single point.

Solve the System {3x+y=129x+3y=36\left\{ \begin{array} { r } 3 x + y = 12 \\9 x + 3 y = 36\end{array} \right.{3x+y=129x+3y=36​

Solve the System $\left\{ \begin{array} { r } 3 x + y = 12 \\9 x + 3 y = 36\end{array} \right.$