Question

solve: 2x+3y=11 2x-4y=-24​

Answer 1

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+3                                      {y=5,x=-2)

5=m(-2)+3

5=-2m+3

5-3=-2m

2=-2m

2/2=-m

1=-m

-1=m

Answer 2

Answer:

x=61/13 , y=7/13

Step-by-step explanation:

subtract eq 1 from 2

2x-4y=24

-2x-3y=-11 multiplied eq 1 with - to subtract it

-7y=13

y=7/13

putting value of y in eq 1

2x+3(7/13)=11

2x+21/13=11

2x=11-21/13

2x= (11*13-21)/13

2x=(143-21)/13

2x=122/13

x=122/13 * 1/2

x=122/(13*2)

x=122/26

x=61/13