Question

How do you know when an equation has infinite many solution?A. The coefficients are differentB. The coefficients are the same and the constants are differentC. The coefficients are the same and the constants are same

Answer 1

An equation has infinitely many solutions when the coefficients are the same and the constants are the same.

This is illustrated as shown below:

`\begin{gathered} 2a+5+a=\text{ 5+3a,} \\ thus,\text{ we have infinitely many solution} \end{gathered}`

Hence, the correct option is C.