Question

How many solutions are there to the system of equations x+y=1 and 2x+2y=2?

Answer 1

`\begin{gathered} x+y=1 \\ 2x+2y=2 \\ \\ x+y=1 \\ 2(x+y)=2 \\ \\ \text{ thus we get} \\ x+y=1 \\ x+y=1 \\ \\ \text{ the we have infinite number of solutions} \end{gathered}`