SOLUTION: Without graphing, answer the question for the following linear system y-x=-9 x+y=12 a) Is the system inconsistent, or are the equations dependent, or neither? b) Is the gr

Algebra ->  Finance -> SOLUTION: Without graphing, answer the question for the following linear system y-x=-9 x+y=12 a) Is the system inconsistent, or are the equations dependent, or neither? b) Is the gr      Log On


   



Question 1005456: Without graphing, answer the question for the following linear system
y-x=-9
x+y=12
a) Is the system inconsistent, or are the equations dependent, or neither?
b) Is the graph a pair of intersecting lines, a pair of parallel lines or one line?
c) Does the system have one solution, no solution, or an infinite number of solutions?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can add the two equations to get,
y-x%2Bx%2By=-9%2B12
2y=3
You can then solve for a unique x.
a)So there is a unique solution.
The equations are neither dependent nor inconsistent.
b) Intersecting lines.
One line would be a dependent system.
Parallel lines would be inconsistent system.
c) One solution.
No solution - Inconsistent
Infinite number - Dependent