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Solve the following system of linear equ...

Solve the following system of linear equations (with rational denominator) by using the method of elimination :
`sqrt(3)x - sqrt(2)y = sqrt (3)` and sqrt(5)x + sqrt(3)y = sqrt(2)`.

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Verified by Experts

The correct Answer is:
`x = 5(sqrt(10)-3), y = 5sqrt(15) - 8 sqrt(6)`
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NAGEEN PRAKASHAN-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3b
  1. {:((x)/(2) + y = 0.8),((7)/(x + (y)/(2)) = 10):}

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  2. {:((15)/(x) + (2)/(y) = 17),((1)/(x) + (1)/(y)= (36)/(5)):}

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  3. 1/16x+1/15y=9/20; 1/20x-1/27y=4/45

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  4. {:((10)/(x + y) - (4)/(x - y)= -2),((15)/(x + y) + (7)/(x - y) = 10):}

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  5. {:(2x + y = (7xy)/(3)),(x + 3y = (11xy)/(3)):}

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  6. {:((1)/(2(x + 2y)) + (5)/(3(3x - 2y))=(-3)/(2)),((5)/(4(x + 2y)) - (3)...

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  7. {:((4)/(x) + 3y = 14),((3)/(x) - 4y = 23):}

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  8. {:((5)/(x - 1) + (1)/(y - 2) = 2),((6)/(x - 1) - (3)/(y - 2) = 1):}

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  9. {:((2)/(sqrt(x))+ (3)/(sqrt(y)) = 2),((4)/(sqrt(x))-(9)/(sqrt(y)) = -1...

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  10. Solve the following system of equations: 2(3u-v)=5u v ,\ \ \ \ 2(u+...

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  11. {:(65x - 33y = 97),(33x - 65y = 1):}

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  12. {:(13x + 11y = 70),(11x + 13y = 74):}

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  13. {:(217x + 131y = 913),(131x + 217y = 827):}

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  14. {:(152x - 378y = -74),(-378x + 152y = -604):}

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  15. {:(x + y = a + b),(ax - by = a^(2) - b^(2)):}

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  16. Solve: x/a+y/b=a+b x/(a^2)+y/(b^2)=2

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  17. Solve the following system of linear equations (with rational denomina...

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  18. 4x + (6)/(y) = 15 and 6x -(8)/(y) = 14, and hence, find p if y = px...

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  19. Solve the following system of equations: (7x-2y)/(x y)=5,\ \ \ (8x+...

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  20. Solve for (x - 1)^(2) and (y + 3)^(2), 2x^(2) - 5y^(2) - x - 27...

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