Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which

Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y =mx + 3.

       2x + 3y= 11                          ... (1)

Subtract 3y both side we get

   2x = 11 – 3y                   … (3)

Plug this value in equation second we get

                        2x – 4y    = –  24                         … (2)

11- 3y – 4y = -  24  

                                         7 y= - 24  – 11

-7y  = - 35

y  =  - 35 / - 7

y  = 5

Plug this value in equation (3) we get

2x   = 11 – 3* 5

2x   = 11- 15

2x   = - 4

Divide by 2 we get

x  = - 2

Plug the value of x and y in equation

 y  =mx + 3.

5     = -2m +3

2m  = 3 – 5

m    =  - 2 / 2

m    =  - 1

Answer x = - 2 , 5 and m = -1