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anonymous

  • one year ago

what is the correct classification of this system of equations? -2x+y=7 3y=6x+4 answer choices are: parallel coincident intersecting

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  1. welshfella
    • one year ago
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    Hint: multiply the first equation by 3 what do you get?

  2. anonymous
    • one year ago
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    -6+y=7?

  3. phi
    • one year ago
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    I would rewrite both equations so that they are in the form y = mx + b and look at "m" (the number in front of the x) that is the slope. if the slopes are different , the lines will intersect if the slopes are the same, the lines are parallel (unless both equations are identical, in which case it's the same line for both equations)

  4. phi
    • one year ago
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    First equation: -2x+y=7 add +2x to both sides -2x + 2x + y= 2x+7 or y= 2x + 7 what is the slope of this line ?

  5. phi
    • one year ago
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    second equation 3y=6x+4 divide both sides by 3 \[ \frac{3y}{3} = \frac{6x+4}{3} \\ y = \frac{6}{3} x + \frac{4}{3} \\ y= 2x + \frac{4}{3} \] what is the slope of this line?

  6. anonymous
    • one year ago
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    i got that the equations are parallel

  7. phi
    • one year ago
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    yes, both equations have a slope of 2 but the equations are different, so the lines are parallel if the equation were the same, then the lines are "coincident" which is a fancy way to say they lie on top of each other... i.e. they are the same line

  8. anonymous
    • one year ago
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    thank you

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