मराठी

Find the Value of and 'Y' If: `2[(X,Y),(9 , (Y - 5))] + [(6,4),(-7,5)] = [(10,7),(22,15)]` - Mathematics

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प्रश्न

Find the value of and 'y' if:

`2[(x,y),(9 , (y - 5))] + [(6,4),(-7,5)] = [(10,7),(22,15)]`

उत्तर

`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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