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Pair of Linear ...

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  • Question 1
    1 / -0

    Without actually solving the simultaneous equations given below, decide whether the system has unique solution, no solution or infinitely many solutions.
    $$3x+5y=16; 4x-y=6$$

  • Question 2
    1 / -0

    Solve the following equation simultaneously using Graphical method:

    $$x+2y=5; y=-2x-2$$

    Then $$(x,y)$$ is equal to

  • Question 3
    1 / -0

    Without actually solving the simultaneous equations given below, decide whether the system has unique solution, no solution or infinitely many solutions.
    $$3y=2-x; 3x=6-9y$$

  • Question 4
    1 / -0

    Solve the following simultaneous equations:


    $$\displaystyle \frac{1}{x}\, +\, \frac{1}{y}\, =\, 8;\quad \frac{4}{x}\, -\, \frac{2}{y}\, =\, 2$$

  • Question 5
    1 / -0

    Solve the following simultaneous equations :

    $$\displaystyle \frac{16}{x + y}\, +\, \frac{2}{x - y}\, =\, 1;\quad \frac{8}{x + y}\, -\, \frac{12}{x - y}\, =\, 7$$

  • Question 6
    1 / -0

    Solve the following simultaneous equations by substitution method.

    $$2x +3y= -4; \, \, x-5y =11$$

  • Question 7
    1 / -0

    Find the value of $$p$$ for which the given simultaneous equations have unique solution:
    $$3x\, +\, y\, =\, 10;\quad 9x\, +\, py\, =\,23$$

  • Question 8
    1 / -0

    Find the value of $$p$$ for which the given simultaneous equations have unique solution:
    $$8x\, -\, py\, +\, 7\, =\, 0;\quad 4x\, -\, 2y\, +\, 3\, =\, 0$$

  • Question 9
    1 / -0

    Find the values of $$x$$ and $$y$$, if 

    $$\displaystyle \frac{2}{x}\, +\, \frac{6}{y}\, =\, 13;\quad \frac{3}{x}\, +\, \frac{4}{y}\, =\, 12$$

  • Question 10
    1 / -0

    Find the values of the $$x+y$$ and $$x-y$$ from the examples given below without solving for x and y


    $$4x+3y=24;\, \, 3x+4y=25$$

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