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4 x + 6y = 3 xy , 8x + 9 y = ...

` 4 x + 6y = 3 xy , `
` 8x + 9 y = 5xy ( x ne 0 , y ne 0 )`

Text Solution

Verified by Experts

The correct Answer is:
` x = 3, y = 4 `.
Divide each equation throughout by xy to get ` ( 4)/(y) + ( 6)/(x) = 3, ( 8)/(y) + ( 9)/(x) = 5`.
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3B
  1. ( 5)/(x)- ( 3) /( y ) = 1, ( 3) /( 2 x ) + ( 2) /( 3y ) = 5...

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  2. ( 1 ) /( 2x ) + (1 ) /( 3y ) = 2, (1) /( 3x ) + (1) /( 2y...

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  3. 4 x + 6y = 3 xy , 8x + 9 y = 5xy ( x ne 0 , y ne 0 )

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  4. x + y = 5 xy , 3x + 2y = 13 xy ( x ne 0, y ne 0 )

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  5. Solve the following system of equations: 5/(x+y)-2/(x-y)=-1,\ \ \ \...

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  6. Solve : (3)/(x + y ) + ( 2)/(x - y ) = 2 and (9)/(x + y ) - ...

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  7. ( 5 ) /( x+ 1 ) - (2)/(y - 1 ) = (1)/(2), (10)/(x + 1) + ( 2...

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  8. (44)/(x+y)+(30)/(x-y)=10 (55)/(x+y)+(40)/(x-y)=13

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  9. ( 10 )/( x+ y) + (2 ) /(x - y ) = 4, ( 15)/( x + y ) - ...

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  10. Solve For x and y : 71 x + 37 y = 253 , 37 x + 71 y = 28...

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  11. {:(217x + 131y = 913),(131x + 217y = 827):}

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  12. Solve the given pair of equations: 23 x - 29 y = 98 , 29 x ...

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  13. ( 2 x + 5y )/( xy ) = 6, (4 x - 5 y)/( xy ) = - 3

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  14. 1/(3x+y)+1/(3x-y)=3/4, 1/(2(3x+y))-1/(2(3x-y))=-1/8

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  15. {:((1)/(2(x + 2y)) + (5)/(3(3x - 2y))=(-3)/(2)),((5)/(4(x + 2y)) - (3)...

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  16. Solve the following system of equations: 2/(3x+2y)+3/(3x-2y)=(17)/5...

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  17. Solve for x and y : 6x + 3y = 7xy, 3x + 9y = 11 xy (x n...

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  18. x+y=a+b , a x-b y=a^2-b^2

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  19. Solve: x/a+y/b=2,\ \ \ \ a x-b y=a^2-b^2

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  20. Solve for x and y by cross- multiplication : px+qy=p-q , qx-py=p+q

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