How many solutions does this equation have: –5(4y + 1) = –5 − 20y.
2 answers:
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Solution:
Keep in mind ,
Equation of line joining two points (a,b) and (p,q) is given by :
Equation of line P which is obtained by joining (- 8,15) and (6, - 12) is given by:
Equation of line Q which is obtained by joining (4,16) and (-9, 10) is given by:
Equation of line P and Q are
27 x+14 y+6=0-------(1)× 2
6 x-13 y+184=0-------(2)× 9
54 x + 2 8 y+12=0---(1)
54 x -117 y +1656=0----(2)
(1) - (2)
145 y= 1644
y=11.33,
27 x+14 y+6=0-------(1)×13
6 x-13 y+184=0-------(1)×14
351 x + 182 y + 78=0-----(1)
84 x - 182 y +2576=0----(2)
(1) + (2)
435 x + 2654=0
x = - 6.11
So, solution set is (-6.11, 11.33)
Option (C) is true. (−2, 4), because this point makes both the equations incorrect.
