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Determine whether each pair of the follo...

Determine whether each pair of the following equations are solvable or not by finding the relations among the ratios of the co-efficients of the same variable and the constant terms of each pair. Also write whether the graphs of the equations of each pair are parallel or intersecting of coinciding or not:
(i) 5x+3y=11, 2x-7y=-12, (ii) 6x-8y=2, 3x-4y=1,
(iii) 8x-7y=0, 8x-7y=56,

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CALCUTTA BOOK HOUSE-LINEAR EQUATIONS-EXERCISE - 4.2
  1. Determine whether each pair of the following equations are solvable or...

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  2. The least natural numbers, by which the equations 4x-3y=16 and 6x+5y=6...

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  3. The least natural numbers, by which the equation 2x+3y=11 and 3x-4y=8 ...

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  4. The number, by which the equation 7x-5y+2=0 should be multiplied so th...

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  5. The constant term, by which the equation ax+by=c should be multiplied...

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  6. The number by which the equation (x+a)/a=(y+b)/b should be multiplied ...

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  7. The quantities, by which the equation px+qy=1 " and " qx+py=(a+b)^(2)/...

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  8. If x of the equation x/3+y/2=8 is expressed in term of y we get,

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  9. Solve the simultaneous linear equation in two variables px+qy+r=0 and ...

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  10. Find the quantity by which the the equation (a+b)(x+y)=a^(2)+b^(2) sho...

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  11. Eliminate t: x=at^(2), y=2at

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  12. Prove that x+y=5 when 101x+99y=499 and 99x+101y=501.

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  13. Express y of the equation (xy)/(x-y)=8 in term of x.

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  14. If y=(ax+b)/(cx+d), then express x in term of y.

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  15. Determine the value of y by eliminating x from the simultaneous linear...

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  16. Determine the value of x by substituting y=2/(5x+3) in the equation 2x...

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  17. Find the value of y by substituting x=(by+a^(2)-b^(2))/(a) in the equa...

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  18. Find the value of y if x=y/(1-9y) " and " x=(-y)/(1-5y).

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

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

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

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