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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
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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welshfella
 one year ago
Best ResponseYou've already chosen the best response.1Hint: multiply the first equation by 3 what do you get?

phi
 one year ago
Best ResponseYou've already chosen the best response.0I 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)

phi
 one year ago
Best ResponseYou've already chosen the best response.0First 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 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.0second 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?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got that the equations are parallel

phi
 one year ago
Best ResponseYou've already chosen the best response.0yes, 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
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