Answer:
These two lines are parallel and system of these equations have no solution
Step-by-step explanation:
Parallel Lines: Lines having same slope and different x and y intercept are parallel lines. System of such equations does not have any solution as these lines does not intersect at any finite points.
Standard form of line is [tex]y=mx+c[/tex] where [tex]m[/tex] is slope and [tex]c[/tex] is y-intercept.
First Line:
[tex]-4x-4y=-5\\\\-4y=-5+4x\\\\Divide\ both\ sides\ by\ -4\\\\y=-x+\frac{5}{4}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{5}{4}[/tex]
Second Line:
[tex]12x+12y=112\\\\12y=112+-12x\\\\Divide\ both\ sides\ by\ 12\\\\y=-x+\frac{12}{112}\\\\compare\ with\ y=mx+c\\\\slope=-1,\ c=\frac{12}{112}[/tex]
Hence these two lines are parallel and system of these equations have no solution
