Solve the system of equations by the elimination method.
-$$\begin{array} { l }
5 x - 6 y = - 5 \
15 x - 18 y = 15
\end{array}$$
A) no solution
B) $( 25 , - 30 )$
C) infinitely many solutions
D) $( - 25,30 )$

Question

Solve the system of equations by the elimination method.
-$$\begin{array} { l } 
5 x - 6 y = - 5 \
15 x - 18 y = 15
\end{array}$$
A) no solution
B) $( 25 , - 30 )$
C) infinitely many solutions
D) $( - 25,30 )$

Quizplus · Accepted Answer

The second equation is a multiple of the first, but with a different constant term, indicating parallel lines with no intersection, hence no solution.

Solve the System of Equations by the Elimination Method 5x−6y=−515x−18y=15\begin{array} { l } 5 x - 6 y = - 5 \\15 x - 18 y = 15\end{array}5x−6y=−515x−18y=15​

Solve the System of Equations by the Elimination Method $\begin{array} { l } 5 x - 6 y = - 5 \\15 x - 18 y = 15\end{array}$