Answer:
2x – 3y = 11 …………….. (i)
x – 2y = – 12 …………….. (ii)
(ii) ⇒ x = 2y – 12 ……. (iii)
Substitute value of x from (iii) in (i), we get
2(2y – 12) + 3y = 11
⇒ 4y – 24 + 3y = 11
⇒ 7y = 35
⇒ y = 5
Substituting value of y = 5 in equation (iii), we get
4 = 2(5) – 12 = 10 – 12 = – 2
Hence, x = – 2, y = 5 is the required solution
Now, 5 = – 2m + 3
⇒ 2m = 3 – 5
⇒ 2m = – 2
⇒ m = – 1.