Question

Find the values of x, y, a and b, if `[(3x + 4y, 2, x - 2y),(a + b, 2a - b, -1)] = [(2, 2, 4),(5, 5, 1)]`

Answer 1

Comparing the corresponding terms, we get.
3x + 4y = 2 ……(i)
x – 2y = 4 …….(ii)
Multiplying (i) by 1 and (ii) by 2
3x + 4y = 2,
2x – 4y = 8
Adding we get,
5x = 10
⇒ x = 2
Substituting the value of x in (i)
3 x 2 + 4y = 2,
6 + 4y = 2,
4y = 2 – 6
= –4
y = –1
∴ x = 2, y = –1
a + b = 5        ...(iii)
2a – b = –5.    ...(iv)