Q. 22 A5.0( 2 Votes )

# For what value of a, the following system of linear equations has no solutions:ax + 3y = a – 2, 12x + ay = a

Given, pair of equations

ax + 3y = a – 2

and 12x + ay = a

On comparing the given equation with standard form i.e. a1 x + b1y + c1 = 0 and a2 x + b2y + c2 = 0, we get

a1 = a, b1 = 3 and c1 = – (a – 2)

and a2 = 12, b2 = a and c2 = – a

For no solutions,

On taking I and II terms, we get

a2 = 36

a = √36

a = ±6

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