Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
-$$\begin{array} { l }
y = \frac { 1 } { 5 } x + 6 \
x - 5 y = - 30
\end{array}$$
A) $\{ ( - 30,0 ) \}$
B) $\{ ( 0,6 ) \}$
C) $\{ ( x , y ) \mid x - 5 y = - 30 \}$
D) $\varnothing$

Question

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
-$$\begin{array} { l } 
y = \frac { 1 } { 5 } x + 6 \
x - 5 y = - 30
\end{array}$$
A) $\{ ( - 30,0 ) \}$
B) $\{ ( 0,6 ) \}$
C) $\{ ( x , y ) \mid x - 5 y = - 30 \}$
D) $\varnothing$

Quizplus · Accepted Answer

The system has infinitely many solutions because the equations are equivalent.

Solve the System by the Method of Your Choice y=15x+6x−5y=−30\begin{array} { l } y = \frac { 1 } { 5 } x + 6 \\x - 5 y = - 30\end{array}y=51​x+6x−5y=−30​

Solve the System by the Method of Your Choice $\begin{array} { l } y = \frac { 1 } { 5 } x + 6 \\x - 5 y = - 30\end{array}$