Question

for what value of a the system of linear equation ax + 3 Y is equal to a-3, 12 x + A Y is equal to a has no solution

Answer 1

ax + 3y = (a - 3),

12x + ay = a has no solution.

A pair of linear equations represented by a x + b y + c = 0 and a x + b y + c = 0 has no solution, if a /a = b /b ≠ c /c .
⇒ a/12 = 3/a ≠ (a - 3)/a a/12 = 3/a
and 3/a ≠ (a - 3)/a
⇒ a = 36 and a - 6a ≠ 0
⇒ a = ± 6 and a = 0, 6

Therefore, the given system of equations has no solution for a = -6.