Answer: First option is correct.
Step-by-step explanation:
Since we have given that
[tex]x-y=1----------(1)\\\\y-x=1\\\\\implies x-y=-1-----------------(2)[/tex]
So, we first check its consistency:
[tex]a_1=1,b_1=-1,c_1=1\\\\a_2=1,b_2=-1,c_2=-1[/tex]
So, [tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{1}{1}\neq \frac{1}{-1}\\\\1=1\neq -1[/tex]
So, it is the parallel lines.
Hence, there is no intersection points.
Therefore, First option is correct.
