Question

solve for x,y,z

z=-y-1
x+z=-2
y=-3x-4z-7

Answer 1

i can't find any value of x,y,z.
if you consider\[z=-y-1_.........1\]\[x+z=-2_..........2\]\[y=-3x-4z-7_......3\]than ____eq.(2)*3+eq.(1) - eq.(3)
than you get value '0'.
so, i think the question wasn't be perfect.or has no solution.

Answer 2

Fact

Given any system of equations there are exactly three possibilities for the solution.

1.There will not be a solution.
2.There will be exactly one solution.
3.There will be infinitely many solutions.

http://tutorial.math.lamar.edu/Classes/Alg/AugmentedMatrixII.aspx

Answer 3

This has been ruled out. --> 2.There will be exactly one solution.

Now, will there NOT be a solution OR will there by infinitely many solutions?

@helpme375