Solve the system of equations by the elimination method.
-$$\begin{array} { l }
3 x - 5 y = 2 \
18 x - 30 y = 12
\end{array}$$
A) $( 6 , - 10 )$
B) infinitely many solutions
C) $( - 10,6 )$
D) no solution

Question

Solve the system of equations by the elimination method.
-$$\begin{array} { l } 
3 x - 5 y = 2 \
18 x - 30 y = 12
\end{array}$$
A) $( 6 , - 10 )$
B) infinitely many solutions
C) $( - 10,6 )$
D) no solution

Quizplus · Accepted Answer

We can divide the second equation by 6 to obtain 
$$3x - 5y = 2$$
$$3x - 5y = 2$$
The two equations are identical, which means there are infinitely many solutions.

Solve the System of Equations by the Elimination Method 3x−5y=218x−30y=12\begin{array} { l } 3 x - 5 y = 2 \\18 x - 30 y = 12\end{array}3x−5y=218x−30y=12​

Solve the System of Equations by the Elimination Method $\begin{array} { l } 3 x - 5 y = 2 \\18 x - 30 y = 12\end{array}$