Question

2x + 3y = 11 and 2x - 4y = - 24 and hence find the value of M for which y =mx + c.

Answer 1

2x+3y=11••••1

2x-4y=-24••••2

solving 1and 2by elimination method we will get

x=-2

y=5

then substitute it in

y=mx+c

=5 =-2m +3

5-3=-2m

2=-2m

m=-1

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....:)