we have that
1)which ordered pair is a solution to the system of inequalities ?
y<3 and y>=-x+5
using a graph tool
the solution is the pair (6,1)---------> see the attached figure
2) the ordered pair (-3.0) is a solution of witch system?
the answer is
the pair (-3,0) is solution of the systems
y<0 y<x+9----------> see the attached figure
and
y>0 y<x+9----------> see the attached figure
3))which ordered pair is a solution to the system of inequalities ?
y<=abs(x) y<-2x-1
the solution is the pair (-3,1)---->see the attached figure
4)what is the solution of the system of equations?
the solution is the point (3,2,1)-----> see the attached figure
2x+y-z=7-----> 2*3+2-1=7--------> 7=7
-x-2y-2z=-9----> -3-2*2-2*1=-9------> -9=-9
x+3y-3z=6---------> 3+3*2-3*1=6--------> 6=6
5) we have that
-4x-2y=-4-----------------> equation 1
3x-y=13----------> y=3x-13----------> equation 2
substitute 2 in 1
-4x-2*(3x-13)=-4---------> -4x-6x+26=-4-------> -10x=-30-----> x=3
y=3x-13-------> y=3*3-13--------> y=-4
the system has exactly one solution,
therefore
it is independent