Question

Solve 2x+3y=11 and 2x-4y=-24 and then. Find the value of m from which y=mx+3 by substitution methods​

Answer 1

Answer:

m=-1

Step-by-step explanation:

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

m=-1

Answer 2

Answer:

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

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

From equation (2),we get

2x-4y=-24

2(x-2y)=2(-12)

x-2y=-12

x=-12+2y

Put x=-12+2y in equation (1)

2x + 3y = 11

2(-12+2y)+3y=11

-24+4y+3y=11

7y=11+24

7y=35

y=35/7

y=5

x=-12+2y

x=-12+2(5)

x=-12+10

x=-2

y=mx+3

5=m(-2)+3

5=-2m+3

-2m=5-3

-2m=2

m=2/-2

m=-1

Hope it helps

please please mark my answer as brainliest answer.

and also follow me...✔️✔️

thx.... ❤❤❤❤❤