SOLUTION: Without graphing, answer the questions for the following linear system. 5x+2y=1 35x+14y=9 a) Is the system inconsistent, or are the equations dependent or neither? b) Is t

Question 1005993: Without graphing, answer the questions for the following linear system.
5x+2y=1
35x+14y=9
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 Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Put both eqns in slope-intercept form.
That means solve for y.
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y = mx + b where m = slope and b = y-intercept.
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If the slopes (m) are not equal, there's one intersection, one solution.
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If the slopes are equal, they're either parallel or coincident --> dependent, infinite # of solutions.
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If both the slope (m) and the y-int are equal, it's the same equation twice.

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