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Question
Find x and y if `x[(4),(-3)] + y[(-2),(3)] = [(4),(6)]`
Solution
`x[(4),(-3)] + y[(-2),(3)] = [(4),(6)]`
`[(4x),(-3x)] + [(-2y),(3y)] = [(4),(6)]`
4x – 2y = 4
(1) ⇒ 2x – y = 2
(2) ⇒ 3x – y = 2
– x + y = 2
Add (1) and (2)
2x – y = 2 ....(1)
– x + y = 2 ....(2)
x = 4
Substitute the value of x = 4 in (2)
– 4 + y = 2
y = 2 + 4 = 6
The value of x = 4 and y = 6
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