SOLUTION: what solution set will satisfy if the system of equation 4x+y=8 a2x=3y+11 are manipulated using substitution?

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Question 411252: what solution set will satisfy if the system of equation 4x+y=8 a2x=3y+11 are manipulated using substitution?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


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