Answer
infinite solutions
Work Step by Step
$y=x+1$
The slope is $1$; the y-intercept is $1$.
$2x-2y=-2$
$\rightarrow 2y=2x+2$
$\rightarrow y=x+1$
The slope is $1$; the y-intercept is $1$.
The lines have the same slope and y-intercept; therefore this system has infinite solutions.