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Math Help - algebra factor

  1. #1
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    Unhappy algebra factor

    Hi i am having difficulty in solving the following questions i would appreciate if you can provide me with the help of solving the following pleeeeese

    The question are:

    Factorise the following
    1. a2 + 6x + 5

    2. 3x2 - 2x -5

    3. 10x2 + 19x + 7

    4. 15a2 - 14a -8

    Solve the following simultaneous equation
    1. 5x +3y = 52 7x + 11y = 100

    2. 15x -19y = 22 20x -23y = 34

    i would appreciate all your help thank you
    Last edited by ThePerfectHacker; February 16th 2007 at 07:38 AM.
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  2. #2
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    1. x2 + 6x + 5

    (x+1)(x+5)

    2. 3x2 - 2x -5

    (3x +5)(x-1)

    3. 10x2 + 19x + 7

    (2x+1)(5x+7)

    4. 15a2 - 14a -8

    (5x+2)(3x - 4)
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  3. #3
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    1. 5x +3y = 52
    7x + 11y = 100

    make x the subject in eqn 1

    x = (52 - 3y)/5

    substitute this value of x in eqn 2

    7*[ (52 - 3y)/5 ] +11y = 100

    multiply through by 5 and expand

    364 - 21y + 55y = 500
    y=4

    substutute this value of y into our definition of x

    x = (52 - 3y)/5
    x = (52 - 3*4)/5
    x=8
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  4. #4
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    2. 15x -19y = 22
    20x -23y = 34


    same method as above

    15x -19y = 22
    x = (22 + 19y) / 15

    resubstitute in eqn 2

    20*[ (22 + 19y) / 15 ] -23y = 34

    multiply by 15 and expand

    440 + 380y - 345y = 510

    y = 2

    resubstitute into x

    x = (22 + 19*2) / 15
    x = 4


    p.s these can be hard, so work through them slowly. if u dont understand still then please dont hesitate to ask
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  5. #5
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    oh also check carefully that i have not made any obvious mistakes. A good way to do this is check the values of x and y give you the answers you want. E.g for simultaneous equation 1

    15x -19y = 22

    x=4, y = 2

    15*4 - 19*2 = 22
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