One equation of a pair of dependent linear equations is 2x + 5y = 3. The second equation will be
(a) 2x + 5y = 6
(b) 3x + 5y = 3
(c) -10x – 25y + 15 = 0
(d) 10x + 25y = 15
isn't c and d both correct , I searched and it end up that c is correct but d is also correct ,if d is incorrect then show me
Answers
Given : One equation of a pair of dependent linear equations is
2x + 5y = 3.
To Find : second equation can will be:
(a) 2x + 5y = 6
(b) 3x + 5y = 3
(c) -10x – 25y + 15 = 0
(d) 10x + 25y = 15
Solution:
a pair of dependent linear equations is having two equations of lines representing the same line
Hence having Infinite solutions
a pair of dependent linear equations can be written as
Ax + By = C
KAx + KBy = KC
where K is non zero real number
2x + 5y = 3
Multiplying by 5 on both sides
10x + 25y = 15
Hence option d) is correct
Multiplying by - 1 both sides
=> -10x - 25y = - 15
Transposing -15 on LHS
=> -10x - 25y + 15 = 0
Hence option c) is also correct
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