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Pair of Linear ...

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  • Question 1
    1 / -0

    Solve the following pairs of equations by reducing them to a pair of linear equations:
    $$\displaystyle \dfrac {7x-2y}{xy}=5, \dfrac {8x+7y}{xy}=15$$

  • Question 2
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    Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method:

    Meena went to a bank to withdraw Rs. $$2000.$$ She asked the cashier to give her Rs. $$50$$ and Rs. $$100$$ notes only. Meena got $$25$$ notes in all. Find how many notes of Rs. $$50$$  and Rs. $$100$$  she received

  • Question 3
    1 / -0

    Solve the following pair of equations by reducing them to a pair of linear equations:
    $$\displaystyle \frac {2}{\sqrt x}+\frac {3}{\sqrt y}=2, \frac {4}{\sqrt x}-\frac {9}{\sqrt y}=-1$$

  • Question 4
    1 / -0

    For which values of $$a$$ and $$b$$ does the following pair of linear equations have an infinite number of solutions?
    $$2x + 3y = 7$$
    $$(a - b)x + (a + b) y = 3 a + b - 2$$

  • Question 5
    1 / -0

    Solve the following pair of equations by reducing them to a pair of linear equations:$$6x + 3y = 6xy, 2x + 4y = 5xy$$

  • Question 6
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    Solve the following pair of equations by reducing them to a pair of linear equations: 


    $$\displaystyle \frac {1}{2x}+\frac {1}{3y}=2, \frac {1}{3x}+\frac {1}{2y}=\frac {13}{6}$$

  • Question 7
    1 / -0

    For which value of k will the following pair of linear equations have no solution?
    $$3x + y = 1$$
    $$(2k - 1) x + (k -1) y = 2k + 1$$

  • Question 8
    1 / -0

    Solve the following pair of equations by reducing them to a pair of linear equations:$$\dfrac {4}{x}+3y=14, \dfrac {3}{x}-4y=23$$

  • Question 9
    1 / -0

    A fraction becomes $$\dfrac  {1}{3}$$ when $$1$$ is subtracted from the numerator and it becomes $$\dfrac  {1}{4}$$ when $$8$$ is added to its denominator. Find the fraction.

  • Question 10
    1 / -0

    Sum of two numbers is $$35$$ and their difference is $$13$$. Then the numbers are

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