If an equivalent system for an original system is $$\left( \begin{array} { c }
5 x + 2 y = - 3 \
0 = 0
\end{array} \right)$$ , then the original system is dependent and has infinitely many solutions.

Question

If an equivalent system for an original system is $$\left( \begin{array} { c } 
5 x + 2 y = - 3 \
0 = 0
\end{array} \right)$$ , then the original system is dependent and has infinitely many solutions.

Quizplus · Accepted Answer

The second equation, 0=0, indicates that there is no restriction on the values of x and y, meaning that they can be any values. Therefore, the system is dependent and has infinitely many solutions.

If an Equivalent System for an Original System Is (5x+2y=−30=0)\left( \begin{array} { c } 5 x + 2 y = - 3 \\0 = 0\end{array} \right)(5x+2y=−30=0​)

If an Equivalent System for an Original System Is $\left( \begin{array} { c } 5 x + 2 y = - 3 \\0 = 0\end{array} \right)$