Question

3. Given a pair of linear equations x-3y + 5 = 0 and ax-3/4y+4= 0 are inconsistent
then value of a is
(a) 4 (b)1/4
(c) 3 (d) any real numb
101​

Answer 1

The answe is 4 becaus a1 /a2 is equal to b1/b2

Answer 2

Answer:1/4

For the set of linear equations x-3y+5 and ax-3/4y+4 to be inconsistent, the ratio of the coefficient of x in the first equation to the coefficient of x in the second equation should be equal to the ratio of coefficient of y in the first equation to the coefficient of y in the second equation but should not be equal to the ratio of the third constant term in the first equation to the constant term in the second equation.

Or in simple language

For the set of equations:

a1x+b1y+c1=0

And

a2x+b2y+c2=0

a1/a2=b1/b2 not equal to c1/c2

So applying this mathematically to the previous equations assuming:

a1=1 b1=-3 c1=5

a2=a b2=-3/4 c2=4

We get that a=1/4