x~4y=11 , 5x~7y=~10 system of equation using elimination to solve

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27-04-2015
Mathematics

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x~4y=11 , 5x~7y=~10 system of equation using elimination to solve

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Panoyin Panoyin · Answer 1 · 2015-04-28T21:41:03-04:00

1x + 4y = 11 ⇒ 5x + 20y = 55
5x - 7y = -10 ⇒ 5x -   7y = -10
   27y = 65
      27    27
   y = 2¹¹/₂₇
   x + 4(2¹¹/₂₇) = 11
         x + 8²²/₂₇ = 11
   - 8²²/₂₇ - 8²²/₂₇
   x = 2⁵/₂₇
      (x, y) = (2⁵/₂₇, 2¹¹/₂₇)