Find the solution to the system of equations. $$\begin{array} { l }
- x + \frac { 5 } { 2 } y = 3 \
- 2 x + 5 y = 6
\end{array}$$
A) $\left( 2 , - \frac { 8 } { 5 } \right)$
B) $( 0,4 )$
C) $( - 10,0 )$
D) An infinite number of solutions
E) No solutions

Question

Find the solution to the system of equations.   $$\begin{array} { l } 
- x + \frac { 5 } { 2 } y = 3 \
- 2 x + 5 y = 6
\end{array}$$ 
A) $\left( 2 , - \frac { 8 } { 5 } \right)$
B) $( 0,4 )$
C) $( - 10,0 )$
D) An infinite number of solutions
E) No solutions

Quizplus · Accepted Answer

The two equations are actually the same, with the second being a multiple of the first. This means every solution to the first equation is also a solution to the second, resulting in an infinite number of solutions.

Find the Solution to the System of Equations −x+52y=3−2x+5y=6\begin{array} { l } - x + \frac { 5 } { 2 } y = 3 \\- 2 x + 5 y = 6\end{array}−x+25​y=3−2x+5y=6​

Find the Solution to the System of Equations $\begin{array} { l } - x + \frac { 5 } { 2 } y = 3 \\- 2 x + 5 y = 6\end{array}$