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Pair of Linear ...

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  • Question 1
    1 / -0

    Solve the system of equations $$65x-33y=97, $$ and $$33x-65y=1$$ by substitution method.

  • Question 2
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    The sum of two numbers is $$25$$ and their difference is $$7$$, then the numbers are.

  • Question 3
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    Two lines $$x+ 2y + 7 = 0$$ and $$2x + ky + 18 = 0$$ do not intersect each other. Find the value of $$k.$$

  • Question 4
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    Solve the following system of equations by substitution method. 


     $$\dfrac{15}{x}+\dfrac{2}{y}=17, \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{36}{5}, x\neq 0, y\neq 0$$

  • Question 5
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    Solve the following systems of equations using elimination method.
    $$0.5x+0.8y=0.44, 0.8x+0.6y=0.5$$

  • Question 6
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    Sahil has Rs.12 less than three times what Sohan has. If both have a total of Rs.88, how many rupees each must have got?

  • Question 7
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    Solve the following puzzles using the equations: 

    The present age of Beena is 2 years more than Reeta.The present age of Teena is 3 years more than Beena.If the sum of the ages of Reeta , Beena , and Teena is 79 years, find the present age of all the three of them.

  • Question 8
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    The solution of the system of equations $$\displaystyle \frac{2x+5y}{xy} = 6$$ and $$\displaystyle \frac{4x-5y}{xy} + 3 = 0$$ (where $$x \neq 0, y \neq 0$$), respectively is ___________.

  • Question 9
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    Solve the following puzzles using the equations: 

    In a village , the number of women is 89 more than the number of men.The number of children is 400 more than the number of men.If the total population of the village is 4989. Find the number of men , women and children. 

  • Question 10
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    Solve for $$x$$ and $$y$$ in the following question:
    $$\displaystyle \frac{2}{x + 2y} + \frac{1}{2x - y} + \frac{5}{9} = 0$$, $$\displaystyle \frac{9}{x + 2y} + \frac{6}{2x - y} + 4 = 0$$

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