Question

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

Answer 1

Answer:

$2x + 3y = 11 \\ 3y = 11 - 2x \\ y = \frac{11}{3} - \frac{2x}{3} ...........(i) \\ 2x - 4y = - 24 \\ - 4y = - 24 - 2x \\ y =6 + \frac{1}{2} x.. ......(ii) \\ \\ now \\ \: \\ using \: (i)and \: (ii) \\ \frac{11}{3} - \frac{2}{3} x = 6 + \frac{1}{2} x \\ \frac{11}{3} - 6 = \frac{1}{2} x + \frac{2}{3} x \\ - \frac{7}{3} = \frac{7}{6} x \\ x = \frac{ - 34}{7}$

Answer 2

Answer:

m = - 1

Step-by-step explanation:

y = mx+3

5 = m(-2)+3

5-3= -2m

2 = -2m

-2/2=m

m = -1

value of m= -1