If a point 5\2, 7\2 Lies on the line 13x+by = 15, then the value of b
Answers
Given :- If a point 5\2, 7\2 Lies on the line 13x+by = 15, then the value of b ?
Solution :-
given that, {(5/2) ,(7/2)} lies on line 13x + by = 15 .
so, putting x = (5/2) and y = (7/2) we get,
→ 13(5/2) + b(7/2) = 15
→ (65/2) + (7b/2) = 15
→ (7b/2) = 15 - (65/2)
→ (7b/2) = (30 - 65)/2
cancel 2 from both sides denominators,
→ 7b = (-35)
dividing both sides by 7,
→ b = (-5) (Ans.)
Hence, value of b is (-5) .
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Given : point (5/2 , 7/2 ) lies on the line 13x + by = 15
To Find : Value of b
Solution:
point (5/2 , 7/2 ) lies on the line 13x + by = 15
Hence Equation will be satisfied if we substitute
x = 5/2 and y = 7/2 in 13x + by = 15
=> 13(5/2) + b(7/2) = 15
Multiplying both sides by 2
=> 65 + 7b = 30
Subtracting 65 from both sides
=> 7b = 30 - 65
=> 7b = - 35
Dividing both sides by 7
=> b = - 5
Hence Value of b = - 5
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