1.

Solve for ` x and y` : ` 0.4 x - 1.5 y = 6.5 `, ` 0.3 x + 0.2 y = 0.9`.

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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