Hey there!
[tex]\large\boxed{Answer: No\:\:Solution}[/tex]
Let's start by putting the second equation into slope-intercept form.
[tex]-x+\frac{3}{2} =-y[/tex]
Multiply both sides by -1 to change the signs.
[tex]x-\frac{3}{2} = y[/tex]
Flip it so y is on the left side.
[tex]y = x - \frac{3}{2}[/tex]
So our system is:
[tex]\large\left \{ {{y=x-1} \atop {y=x-\frac{3}{2} }} \right.[/tex]
Both of these have the same slope of 1, and have different y-intercepts. Just from looking at this we can see that the system has no solution. I will still include the graph.
Hope this helps!
