Given the system of equations:
[tex]\begin{gathered} y+x=4\rightarrow(1) \\ 2y-2x=8\rightarrow(2) \end{gathered}[/tex]a) The given system has the equations of lines, so it will be a linear system
b) We will write the equations in slope-intercept from to compare them
From (1): y = -x + 4
From (2): y = x + 4
The slope of the first equation = -1, and the slope of the second equation = 1
so, the given system of consistent independent system
the system has only one solution
c) the system will be consistent
d) the system will be independent
