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algebra

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find real numbers a and b if
a(3x+1)+b(5x-1)=11x+9 for all x€r

  • algebra -

    you have

    3ax + a + 5bx - b = 11x + 9

    If these expressions are identical for all x, then like powers of x must be equal:

    3a + 5b = 11
    a - b = 9

    so,

    3(b+9) + 5b = 11
    b = -2
    a = 7

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