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

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

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The correct Answer is:
x = 4, y = 5
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Explore conceptually related problems

Solve the following system of equations: (5)/(x-1)+(1)/(y-2)=2,quad (6)/(x-1)-(3)/(y-2)=1

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

(a - 1) x + 3y = 2 , 6x + (1 - 2b) y =6 .

(x + 2) (x + 1) = (x -2) (x -3) (y+3)(y+2)=(y-1)(y-2)

6x + 5y = 7x + 3y + 1 = 2 ( x + 6y - 1 )

5/(x-1)+1/(y-2)=2 and 6/(x-1)-3/(y-2)=1 then find the values of x and y

(6)/(x+y)=(7)/(x-y)+3(1)/(2(x+y))=(1)/(3(x-y))

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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