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11.Solve the following pair of equations:4+-= 2 and |
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Answer» 2/√x+3/√y= 24/√x- 9/√y= -1Let 1/√x=pand 1/√y=q, then the equations changes as below:2p+ 3q = 2 ...(i)4p - 9q = -1 ...(ii)Multiplying equation(i)by 3, we get6p + 9q = 6 ...(iii)Adding equation(ii)and(iii), we get 10p = 5 p = 1/2 ...(iv) Putting in equation(i), we get 2 × 1/2+ 3q = 23q = 1q = 1/3 p= 1/√x= 1/2√x= 2x= 4andq= 1/√y= 1/3√y= 3y= 9Hence,x= 4,y= 9 thank u |
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