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

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) (Show Source): You can put this solution on YOUR website!
You can add the two equations to get,

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

RELATED QUESTIONS
Without graphing, answer the following questions for the following linear system... (answered by josgarithmetic)

Without graphing, answer the following for the following linear system. y-x=-9... (answered by Alan3354)

Without graphing, answer the questions for the following linear system. y-x=-9... (answered by Alan3354)

Without graphing, answer the questions for the following linear system x+4y=0... (answered by josgarithmetic)

Without graphing, answer the questions for the following linear system x+4y=0... (answered by josgarithmetic,MathLover1)

without graphing answer the following questions about the system, x-y=7, 9x=9y+4.... (answered by lmeeks54)

Without graphing, answer the questions for the following linear system. 5x+2y=1... (answered by Alan3354)

Without graphing, answer the following questions for the following linear system.... (answered by mananth)

Without graphing, answer the following questions for the following linear system.... (answered by Alan3354)