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Question 360039: find values of A and B so that the graph of the given equation will contain the
give points: Ax+By=3;(8,3)and(13,7)
Answer by Jk22(389)   (Show Source):
You can put this solution on YOUR website! Ax + By = 3
a) x = 8, y = 3, plugged in the equation : 8A + 3B = 3
b) x = 13, y = 7 gives the equation : 13A + 7B = 3
equ 7(a)-3(b) eliminates the B : 7*8A-3*13A = 7*3 - 3*3
(56 - 39)A = 21 - 9
17A = 12
A = 12 / 17 (a)=> B = (3 - 8*12/17)/3 = (51 - 96)/17/3 = -45/17/3 = -15 / 17
(b)=> B = (3 - 13*12/17)/7 = (51 - 156)/17/7 = -105/17/7 = -15 / 17
the equation is : 3/17(4x-5y) = 3
4x - 5y = 17
Verification :
3/17*(4*8 - 5*3) = 3/17*(32 - 15) = 3/17*17 = 3
3/17*(4*13 - 5*7) = 3/17*(52 - 35) = 3/17*17 = 3
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