if the point A(3,5) and B(1,4) lie on the graph of the line ax+by=7 .find the valve of a&b
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let x and y are 3,5 by point A
put on the equation
ax+by=7
3a +5b =7 .......(1)
and a+4b=7 .........(2)
multiplying (2) by 3
3a+12b =21
subtract (3) from (1)
-7b = -14
b = 2
putting b=2 in (1)
3a+5×2 = 7
3a = -3
a = -1
hence a= -1 , b=2.
put on the equation
ax+by=7
3a +5b =7 .......(1)
and a+4b=7 .........(2)
multiplying (2) by 3
3a+12b =21
subtract (3) from (1)
-7b = -14
b = 2
putting b=2 in (1)
3a+5×2 = 7
3a = -3
a = -1
hence a= -1 , b=2.
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