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

Question 1005291: Without graphing, answer the following questions 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 josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Solve each equation for y in terms of x, and put into slope-intercept form.

Slopes are 1 and -1, which are negative reciprocals; the y-intercepts are unequal, so these are perpendicular lines (and share exactly one point in common).
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