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Question
Find the value of and 'y' if:
`2[(x,y),(9 , (y - 5))] + [(6,4),(-7,5)] = [(10,7),(22,15)]`
Solution
`2[(x,7),(9,(y - 5))] + [(6,-7),(4,5)] = [(10,7),(22, 15)]`
`=> [(2x, 14),(18, 2y - 10)] + [(6, -7),(4,5)] = [(10,7),(22,15)]`
`=> [(2x+6,14-7),(18 + 4, 2y - 100 + 5)] = [(10,7),(22,15)]`
`=> [(2x+6, 7),(22, (2y - 5))] = [(10,7),(22,15)]`
⇒ 2x + 6 = 10 and 2y - 5 = 15
⇒ 2x = 4 and 2y = 20
⇒ x = 2 and y = 10
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