Question 411252
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Hi
Solving system by substition method  ('manipulated'...never heard it put quite that way :)
4x+y=8  Or y = (-4x-8)
2x=3y+11
2x =3(-4x-8) + 11
2x = -12x - 24 + 11
14x = -13
  x = -13/14  and y = -4*-13/14 - 8 = 52/14 - 112/14 = -60/14 = -30/7
  y = -30/7
CHECKING our Answer***
  2x  =  3y+11
 -13/7 = -90/7 + 77/7 = -13/7