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Pair of Linear ...

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  • Question 1
    1 / -0

    Form the pair of linear equations for the following problem and find their solution by substitution method.
    The difference between the two numbers is $$26$$ and one number is three times the other.

  • Question 2
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    Solve the following pair of linear equations by the substitution method.

    $$\dfrac {3x}{2}-\dfrac {5y}{3}=-2,\,\, \dfrac {x}{3}+\dfrac {y}{2}=\dfrac {13}{6}$$

  • Question 3
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    Solve the following pair of linear equations by the substitution method

    $$s-t=3, \dfrac {s}{3}+\dfrac {t}{2}=6$$

  • Question 4
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    Solve the following pair of linear equations by the substitution method

    $$x + y = 14, x - y = 4$$

  • Question 5
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    Solve the following pair of linear equations by the substitution method.

    $$0.2x + 0.3y = 1.3, 0.4x + 0.5y = 2.3$$

  • Question 6
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    A fraction becomes $$\dfrac {9}{11}$$, if $$2$$ is added to both the numerator and the denominator. If $$3$$ is added to both the numerator and the denominator it becomes $$\dfrac {5}{6}$$. Find the fraction.

  • Question 7
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    Five years hence, the age of jacob will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages?

  • Question 8
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    Form the pair of linear equations for the following problem and find their solution by substitution method.

    The larger of two supplementary angles exceeds the smaller by $$18$$ degrees. 

  • Question 9
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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:

    Five years ago Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?

  • Question 10
    1 / -0

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


    $$\dfrac {1}{(x-1)}+\dfrac {1}{(y-2)}=2, \ \dfrac {6}{(x-1)}-\dfrac {2}{(y-2)}=1$$

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