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Solve (by any method) : (a-b)x+(a+b)y=...

Solve (by any method) :
`(a-b)x+(a+b)y=a^(2)-2ab-b^(2)`
`(a+b)(x+y)=a^(2)+b^(2)`

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The correct Answer is:
`x=a+b, y=(2ab)/(a+b)`
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CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.2
  1. Solve the following simultaneous linear equations in two variables by ...

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  2. Solve the following simultaneous linear equations in two variables by ...

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  3. Solve the following simultaneous linear equations in two variables by ...

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  4. Solve the following simultaneous linear equations in two variables by ...

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  5. Solve the following simultaneous linear equations in two variables by ...

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  6. Solve the following simultaneous linear equations in two variables by ...

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  7. Solve the following simultaneous linear equations in two variables by ...

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  8. Solve the following simultaneous linear equations in two variables by ...

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  9. Solve the following simultaneous linear equations in two variables by ...

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  10. Solve the following simultaneous linear equations in two variables by ...

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  11. If ax+by+c=0 " and " a'x+b'y+c'=0, then prove that x/(bc'-b'c)=y/(ca...

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  12. Find the value of y by eliminating x : (x+a)/(2a+b)=(y+2b)/(a+b), bx...

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  13. Solve (by any method) : 101x+99y=499 99x+101y=501

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  14. Solve (by any method) : (x+ab)/a=(y+ab)/b ax+by=a^(3)+b^(3)

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  15. Solve (by any method) : b/(ax)+(ay)/b=a+b a/x+by=a^(2)+b^(2)

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  16. Solve (by any method) : (x+a)/(2a+b)=(y+2b)/(a+b) bx+ay=a^(2)+b^(2...

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  17. Solve (by any method) : (a-b)/x+(a+b)/y=(2(a^(2)+b^(2)))/((a^(2)-b^(...

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  18. Solve (by any method) : 999x+888y=1332 888x+999y=555

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  19. Solve (by any method) : (p+2)+2/(q-2)=2 6(p+2)-5/(q-2)=1

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  20. Solve (by any method) : (a-b)x+(a+b)y=a^(2)-2ab-b^(2) (a+b)(x+y)=a...

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