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

=

=