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| Question 354616:  I have a huge problem with graphing equations.
 In my homework I need to graph linear systems and estimate the solution for this equation:
 y= -3x+2
 y= 2x-3
 My answer for where the two lines crossed was (-1,-3) but I don't know if that's right.
 Found 2 solutions by  Alan3354, stanbon:
 Answer by Alan3354(69443)
      (Show Source): 
You can put this solution on YOUR website! graph linear systems and estimate the solution for this equation: y= -3x+2
 y= 2x-3
 My answer for where the two lines crossed was (-1,-3) but I don't know if that's right.
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 Check you answer by subbing it into the equations.
 y = -3x+2
 -3 =? -3*(-1) + 2
 -3 =? 5  It doesn't, so it's not correct.
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 To graph linear eqns, you need 2 points.
 y = -3x + 2
 Pick 2 values for x and find y.
 x = 0, y = 2 --> (0,2)
 x = 2, y = -4 --> (2,-4)
 Plot the 2 points, draw a straight line thru them.
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 Do the same for y = 2x - 3
 See where they intersect.
 PS  x and y are integers.
 
Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! In my homework I need to graph linear systems and estimate the solution for this equation: y= -3x+2
 y= 2x-3
 My answer for where the two lines crossed was (-1,-3) but I don't know if that's right.
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 Put that x/y pair into each equation and see if your "solution"
 is really a solution.
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 Putting it into the 1st equation you
 would get -3 = -3(-1) = 2
 -3 = 3+2
 That is wrong so (-1,-3) is not the correct solution.
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 I think (1,-1) is the correct answer.
 Checking:
 y = -3x+2
 -1 = -3*1+2
 -1 = -1
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 y = 2x-3
 -1 = 2*1-3
 -1 = 2-3
 -1 = -1
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 The pair 1,-1 checks out in both equations,
 so that pair is the solution.
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 Cheers,
 Stan H.
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