SOLUTION: y = -2x - 5 y = -2x + 3 dependent, independent, consistent, inconsistent, neither dependent, independent

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Question 941430: y = -2x - 5
y = -2x + 3 dependent, independent, consistent, inconsistent, neither dependent, independent
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y = -2x - 5
y = -2x + 3 dependent, independent, consistent, inconsistent, neither dependent, independent
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Both have slope = -2
So the lines are parallel.
Therefore::
Not de;endent because one is not a multiple of the other
Independent:: yes
No solution so the variables do not have consistent value.
Inconsistent:: yes
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Cheers,
Stan H.
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Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

y+=+-2x+-5
y+=+-2x+%2B+3
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if you compare these equations of the lines to the slope-intercept form equation of the line y=mx%2Bb where m is a slope and b is y-intercept, then you see that given lines have same+ slope of -2 and (by definition) we know that these two lines are parallel
so,these two two lines will not cross at all and that means there are no solutions, and the system is called inconsistent

+graph%28+600%2C600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x+-5%2C++-2x+%2B+3%29+