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Pair of Linear ...

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  • Question 1
    1 / -0

    Determine whether the system of linear equations $$2x + 3y - 5 = 0, 6x + 9y - 15 = 0$$ has a unique solution, no solutions, or an infinite number of solutions.

  • Question 2
    1 / -0

    Solve graphically the following pair of linear equations: 

    $$2x + 3y - 12 = 0, 2x - y - 4 = 0$$. 

  • Question 3
    1 / -0

    Solve the following equations by the substitution method

    $$\dfrac {1}{2}(9x+10y)=23, \dfrac {5x}{4}-2y=3$$

  • Question 4
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    Solve graphically the pair of equations $$x+3y=6$$, and $$3x-5y=18$$. Hence, find the value of $$K$$ if $$7x+3y=K$$

  • Question 5
    1 / -0

    If $$2x + y = 23$$ and $$4x - y = 19$$, find the values of $$5y - 2x$$ and $$\dfrac{y}{x} - 2$$.

  • Question 6
    1 / -0

    Solve the following equations by the substitution method

    $$0.04 x + 0.02y = 5, 0.5x - 0.4y = 30$$

  • Question 7
    1 / -0

    Solve the following equations by the substitution method

    $$x = 3y - 19, y = 3x - 23$$

  • Question 8
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    Solve the following pair of equations graphically : $$x + y = 4, 3x - 2y =- 3$$
    Shade the region bounded by the lines representing the above equations and x-axis

  • Question 9
    1 / -0

    Solve the following equations by the substitution method

    $$\dfrac {x+11}{7}+2y=10, 3x=8+\dfrac {y+7}{11}$$

  • Question 10
    1 / -0

    Solve the following equations by the substitution method

    $$11x-8y=27, 3x+5y=-7$$

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