Question

For what value of a, the system of equation ax+3y=a=3, 12r+ay=a have no solution

Answer 1

ax + 3y = a-3

12x + ay = a  

these Lines will not have any solutions if lines are parallel and are at an distance

so slope of line will be same and c will differ

y = mx + c

so writing given equations in this form

so y = (-a/3)x + (a-3)/3   - Eq 1

    y = (-12/a)x  + 1    - Eq 2

Equating m from Eq 1 & Eq 2

=> -a/3 = -12/a

=> a² = 36

=> a = ±6

Answer 2

write the equation perfectly