Solve and and hence find the value of ‘m’ for which

2x + 3y = 11.........(i)

2x - 4y = - 24..........(ii)


From equation (i)


2x = 11 - 3y..........(iii)


putting value of 2x from equation (iii) to equation (ii)


11 - 3y - 4y = - 24


= 11 - 7y = - 24


= - 7y = -35


= y =


Putting value of y in equation (iii) we get,


2x = 11 - 3 × 5 = 11 - 15 = - 4


x =


Now , putting values of x and y in equation


y = mx + 3


= 5 = -2 m + 3


=


=


18