Question

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

Answer 1

Comparing corresponding elements,
2x + y = 5 …(i)
3x – 2y = 4 …(ii)
Multiply (i) by 2 and (ii) by ‘1’ we get
4x + 2y = 10,
3x – 2y = 4
Adding we get,
7x = 14
⇒ x = 2
Substituting the value of x in (i)
2 x 2 + y = 5
⇒ 4 + y = 5
y = 5 – 4
= 1
Hence x = 2, y = 1.