Find three solutions to each equation then graph the solution set -2x+y=1

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22-04-2015
Mathematics

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Find three solutions to each equation then graph the solution set -2x+y=1

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Panoyin Panoyin · Answer 1 · 2015-04-22T20:54:56-04:00

First Solution
      -2x + y = 1
-2x + 2x + y = 1 + 2x
   y = 1 + 2x

Second Solution
   -2x + y = 1
-2x + y - y = 1 - y
   -2x = 1 - y
      -2    -2
      x = -0.5 + 0.5y
0.5 + x - x = -0.5 + 0.5 - x + 0.5y
   0.5 = -x + 0.5y
-0.5y - 0.5 = -x + 0.5y - 0.5y - 0.5
   2 · (-0.5y) = 2(-x - 0.5)
      y = -2x - 1

Third Solution
   -2x + y = 1
      -2x + y - 1 = 1 - 1
      -2x + y - 1 = 0
-2x + 2x + y - 1 = 2x
   y - 1 = 2x
   y - 1 + 1 = 2x + 1
      y = 2x + 1