List of top Mathematics Questions on Linear Equations asked in KCET

The system of equations \( 4x + 6y = 5 \) and \( 8x + 12y = 10 \) has:

Consider the following statements:
Statement-I: The set of all solutions of the linear inequalities 3x + 8 < 17 and 2x + 8 ≥ 12 are x < 3 and x ≥ 2 respectively.
Statement-II: The common set of solutions of the linear inequalities 3x + 8 < 17 and 2x + 8 ≥ 12 is (2,3).
Which of the following is true?

If f(x) = ax + b, where a and b are integers, f(-1) = -5 and f(3) = 3 then a and b are respectively

The solution of \(e^{\frac{dy}{dx}} = x+1,y(0) =3\) is