Answer:
[tex]y = x-1[/tex]
[tex]-x+\dfrac32=-y\\\implies y=x-\dfrac32[/tex]
The equations have the same slope but different y-intercepts. This means the lines are parallel and there is no solution (since they do not intersect).
[tex]\\ \rm\hookrightarrow y=x-1[/tex]--(1)
[tex]\\ \rm\hookrightarrow -x+3/2=-y[/tex]
[tex]\\ \rm\hookrightarrow y=x-3/2[/tex]--(2)
Observe
Only b is different in both ones(y intercept)
Lines are parallel so no solution
