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प्रश्न
Find x and y, if `[(3x, 8)][(1, 4),(3, 7)] - 3[(2, -7)] = 5[(3, 2y)]`
उत्तर
`[(3x, 8)][(1, 4),(3, 7)] - 3[(2, -7)] = 5[(3, 2y)]`
`=> [(3x + 24, 12x + 56)] - [(6, -21)] = [(15, 10y)]`
`=> [(3x + 24 - 6, 12x + 56 + 21)] = [(15, 10y)]`
`=> [(3x + 18, 12x + 77)] = [(15, 10y)]`
Comparing the corresponding elements, we get
∴ 3x + 18 = 15
`=>` 3x = 15 – 18 = –3
∴ x = `(-3)/3` = –1
And 12x + 77 = 10y
`=>` 12 × (–1) + 77
`=>` 10y = –12 + 77
`=>` 10y = 65
∴ y = `65/10` = 6.5
Hence x = –1, y = 6.5
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