Question

Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx -- 12

Answer 1

solution;

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

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

solving these equations by substitution method, 

Now, from (ii), we get, 

2x-4y=-24

2x=-24+4y

x=(-24+4y)/2

x=-24/2+4y/2

x=-12+2y...........(iii)

Put this value of x in (i), we get, 

 2(-12+2y) + 3y = 11

-24+4y+3y=11

7y=11+24

7y=35

y=35/7

y=5

now put this value of y in (iii)

=-12+2y

=-12+2(5)

=-12+10

=-2

y=mx  -12

                                  {y=5,x=-2)

5=m(-2)-12

5=-2m-12

5+12=-2m

17=-2m

17/2=-m

17/2=-m

-17/2=m