Question

Solve 2x+3y=11 and 2x-4y =-24 and hence find the value of 'm' for which y= mx+3​

Answer 1

Answer:

Hello...

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

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

By elimination method,

2x +3y =11

2x -4y = -24

(-) (+) (+)

.......................

7y = 35

:.y =5...

substituting y in (1)

2x +3(5) = 11

2x =11-15

2x= -4

:. x = -2...

Hence, m= y-3/x =5-3/-2 = 2/-2

:.m = -1...

Hope it helps....

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Answer 2

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2x + 3y = 11…………………………..(i)

2x + 3y = 11…………………………..(i)2x – 4y = -24………………………… (ii)

From equation (ii), we get;

x = (11 – 3y)/2 ……….…………………………..(iii)

Putting the value of x in equation (ii), we get

2[(11 – 3y)/2] – 4y = −24

11 – 3y – 4y = -24

-7y = -35

y = 5……………………………………..(iv)

Putting the value of y in equation (iii), we get;

x = (11 – 15)/2 = -4/2 = −2

Hence, x = -2, y = 5

Also,

y = mx + 3

5 = -2m +3

-2m = 2

m = -1

Therefore, the value of m is -1

Hope it's Helpful....:)