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Solve for ` x and y` : ` 0.4 x - 1.5 y = 6.5 `, ` 0.3 x + 0.2 y = 0.9`. |
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Answer» Multiplying each of the equations by 10 , we get ` 4x - 15y = 65" "`… (i) ` 3x + 2 y = 9" "`… (ii) Multiplying (i) by 2 and (ii) 15 and adding, we get `8x + 45x = 130 + 135 ` ` rArr 53 x = 265 ` ` rArr x = ( 265 )/( 53 ) = 5 ` Putting ` x = 5 `in (ii), we get ` 15 + 2y = 9 rArr 2y = 9 - 15 rArr 2y = - 6 rArr y = - 3 ` Hence, ` x = 5 and y = - 3` |
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