For what value of the constant a will the system of linear equations

Question

6x -5y = 3

3x + ay =1

Answer 1

It's not a system of linear equations with a solution if

a=-5/2

IF a=-5/2, then

the two equations are inconsistent. IF you graphed them, they would be parallel lines with no intersection point

6x - 5y = 3

3x +ay = 1,

replace a with -5/2 then

3x -5y/2 = 1 multiply by 2

6x -5y = 2 contradicts the 1st equation

6x-5y = 3

subtract to get

0 =-1 a contradiction

"a" can be any real number except -5/2