anonymous
  • anonymous
Are these problems inconsistent? 2x+3y=2 2x-3y=6
Mathematics
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anonymous
  • anonymous
Are these problems inconsistent? 2x+3y=2 2x-3y=6
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
I'm not too sure on the difference between consistent and inconsistent equations.
anonymous
  • anonymous
You typed before: Inconsistent -- no solution Consistent -- a single solution Dependent -- infinite number of solution This system has 1 solution. You can find it by elimination or substitution.
anonymous
  • anonymous
okay. i see.

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anonymous
  • anonymous
Consistent -- a single solution Just add them and then subtract them.
anonymous
  • anonymous
If the slope is different, then the two lines will intersect and will have one solution. They then form a Consistent and independent system with one solution. If the slope is same, y-intercept is same, then the two lines coincide. They then form a Consistent and dependent system with infinite solutions. If the Slope is same but different y-intercepts, then the two lines are parallel. They then form an Inconsistent system with no solution. 2x+3y=2 2x-3y=6 Putting them in slope-intercept form 2x+3y=2 3y = - 2x + 2 2 2 y = - ---- x + ----- 3 3 2x-3y=6 -3y = -2x + 6 -2 6 y = ---- x + ----- -3 -3 2 y = ---- x - 2 3 since both have different slopes, hence they will intersect and have one solution. so they form a consistent pair
anonymous
  • anonymous
thanks guys!

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