Question

classify each system of equations by the number of solutions. In each system, a,b,c, and d are unique rational numbers

Answer 1

The systems with one solution are:

`\begin{cases}y=ax+b \\ y=cx+d\end{cases}`

and

`\begin{cases}y=2ax+b \\ y=ax+b\end{cases}`

There system with no solution is:

`\begin{cases}y=ax+b \\ y=ax+d\end{cases}`

And the system with infinitely many solutions is:

`\begin{cases}3y=3ax+3b \\ y=ax+b\end{cases}`