Find all solutions of the given system and check your answer graphically. $$\begin{aligned}
\frac { x } { 5 } - \frac { y } { 2 } & = 1 \
\frac { x } { 3 } + y & = - 2
\end{aligned}$$
A) $\left( - \frac { 1 } { 7 } , - \frac { 2 } { 33 } \right)$
B) $( 1 , - 2 )$
C) $( 0 , - 2 )$
D) No solutions
E) An infinite number of solutions

Question

Find all solutions of the given system and check your answer graphically.   $$\begin{aligned}
\frac { x } { 5 } - \frac { y } { 2 } & = 1 \
\frac { x } { 3 } + y & = - 2
\end{aligned}$$ 
A) $\left( - \frac { 1 } { 7 } , - \frac { 2 } { 33 } \right)$
B) $( 1 , - 2 )$
C) $( 0 , - 2 )$
D) No solutions
E) An infinite number of solutions

Quizplus · Accepted Answer

Substituting $x = 0$ and $y = -2$ into both equations satisfies them, indicating $(0, -2)$ is a solution.

Find All Solutions of the Given System and Check Your x5−y2=1x3+y=−2\begin{aligned}\frac { x } { 5 } - \frac { y } { 2 } & = 1 \\\frac { x } { 3 } + y & = - 2\end{aligned}5x​−2y​3x​+y​=1=−2​

Find All Solutions of the Given System and Check Your $\begin{aligned}\frac { x } { 5 } - \frac { y } { 2 } & = 1 \\\frac { x } { 3 } + y & = - 2\end{aligned}$