for what value of a are the pair of equations 2x-y=a and 6x-3y=1 dependent
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Answer:
for consistent (dependent) pair of equations,
a1/a2 = b1/b2 = c1/c2 ... (i)
or, a1/a2 isn't equal to b1/b2. ....(ii)
Step-by-step explanation:
Let's check it.
a1/a2 = 2/6 = 1/3
b1/b2b = -1/-3 = 1/3
here, a1/a2 = b1/b2. so, we need to apply the first formula (i)th formula.
so, a1/a2 = b1/b2 = c1/c2 = 1/3
or, a/1 = 1/3 [since c1/c2 = 1/3]
or, a = 1/3 ,would be the answer
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