SOLUTION: graph each system of equations and describe it as consistent and independent,consistent and dependent, or inconsistent. y=-x-2 x+y=-4

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: graph each system of equations and describe it as consistent and independent,consistent and dependent, or inconsistent. y=-x-2 x+y=-4       Log On


   

Question 60805: graph each system of equations and describe it as consistent and independent,consistent and dependent, or inconsistent.
y=-x-2
x+y=-4
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
graph each system of equations and describe it as consistent and independent,consistent and dependent, or inconsistent.
y=-x-2
x+y=-4
:
For y=-x-2
Let x=0 and y=?
y=-(0)-2
y=-2 Plot (0,-2)
Now let x=-2 and y=?
y=-(-2)-2
y=2-2
y=0 Plot (-2,0)
Connect the points and you have this line.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x-2%29
For x+y=-4
Let x=0 and y=?
(0)+y=-4
y=-4 Plot (0,-4)
Let y=0 and x=?
x+(0)=-4
x=-4 Plot (-4,0)
Connect the points and you have a second line.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x-2%2C-x-4%29
Notice that the lines a parallel and will never intersect.
This system has no solution and is inconsistent (and independent).
Happy Calculating!!!