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The least natural numbers, by which the ...

The least natural numbers, by which the equations 4x-3y=16 and 6x+5y=62 should be multiplied so that the co-efficients of x in both the equations become equal are

A

3 and 2 respectively

B

2 and 1 respectively

C

1 and 2 respectively

D

5 and 3 respectively

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A
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Determine whether each pair of the following equations are solvable or not by finding the relations among the ratios of the co-efficients of the same variable and the constant terms of each pair. Also write whether the graphs of the equations of each pair are parallel or intersecting of coinciding or not: (i) 5x+3y=11, 2x-7y=-12, (ii) 6x-8y=2, 3x-4y=1, (iii) 8x-7y=0, 8x-7y=56,

Knowledge Check

  • The least natural numbers, by which the equation 2x+3y=11 and 3x-4y=8 should be multiplied so that the co-efficients of y in both the equations become equal are

    A
    3 and 2 respectively
    B
    4 and 3 respectively
    C
    3 and 1 respectively
    D
    4 and (-3) respectively

  • The equations 4x+3y=7 and 7x-3y=4 have

    A
    a certain solution
    B
    infinitely many solution
    C
    no solution
    D
    None of these

  • The number, by which the equation 7x-5y+2=0 should be multiplied so that after adding the result of the multiplication to the equation 2x+15y+3=0, the co-efficients of the variable y in both the equation will be eliminated is

    A
    -2
    B
    -3
    C
    3
    D
    2

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    Find the number of solution of the system of equation x+2y=6 and |x-3|=y

    Reduce the equation of line x-y+2z=5 and 3x+y+z=6 in symmetrical form.

    The constant term, by which the equation ax+by=c should be multiplied so that after subtracting the result of the multiplication from the equation a^(2)x+b^(2)y=c^(2) the co-efficients of the variable x will be eliminated, is

    The number by which the equation (x+a)/a=(y+b)/b should be multiplied so that after adding the result of the multiplication to the equation ax-by=a^(2)-b^(2) the variable y will be eliminated, is

    The value of p for which the equation x+2y=5 and (p+1)x+3y=2 will have no solution,is

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