Find the value of `a` so that the following equation may have `x = -4` and `y = 1` as a solution. `3ax-7y=5`.

Find the value of a so that the following equation may have x = -4 and y = 1 as a solution. -5x+2ay=-8 .

Find two solutions for the following equations: 2x + 5y = 0

For what value of m, the following system of equations have 2x + my = 1 , 3x - 5y = 7 :- no solution.

Find two solutions for the following equations: 4x + 3y = 12

Find the values of a and b so that the following function is continuous at x = 3 and x=5: f(x) = {:{(1, if xle3),(ax+b,if 3< x <5),(7, if 5lex):}

For what value of m, the following system of equations have 2x + my = 1 , 3x - 5y = 7 :- a unique solution

Find the value of a and b for which the following system of equations has infinite number of solutions. 2x + 3y = 7, (a + b) x + (2a - b) y = 3 (a + b + 1 ) .

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Find the value of k for which the following system of linear equations : 2x -ky = 1, 3x - 5y = 7 will have :- a unique solution .

Find the values of x, y and z from the following equation: [[4,3],[x,5]]=[[y,z],[1,5]]