(a) Find the value of a and B for which the following
pair of linear equations has infinite number of
solutions : 2x + 3y = 7;2a x + (a + b) y = 28
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Answer:
a=3
b=5
Step-by-step explanation:
2x + 3y = 7;2a x + (a + b) y = 28
2x+3y=7___(1)
2ax+(a+b) y=28___(2)
From(1)
x=7-3y/2
Putting this value in (2)
2a(7-3y/2) +(a+b) y=28
7a-3ay+(a+b) y=28
7a-3ay+ay+by=28
Hence,
a=3
b=5
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