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Solve the followingsystem of equations:`11 x+15 y+23=0, 7x-2y-20=0` |
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Answer» The given equations are ` 11 x + 15y = - 23 " " `… (i) ` 7 x - 2y = 20 " " `… (ii) Multiplying (i) by 2 and (ii) by 15 and adding the results , we get ` 22 x + 105 x = - 46 + 300` ` rArr 127 x = 254 ` ` rArr x = ( 254 )/( 127) = 2 ` Putting ` x = 2 ` in (i), we get ` 22 + 15 y = - 23 ` `rArr 15y = - 23 - 22` `rArr 15y = - 45 rArr y = (-45)/( 15) = - 3 ` Hence, ` x = 2 and y = - 3 ` |
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