Question

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

Answer 1

Step-by-step explanation:

here by eliminating eq 1 and eq 2 we get y=5 and x=-2 and by putting value of y and x in eq y=mx+3 we get m=-1

Answer 2

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.