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Math Help - Find solutions such that A: no solution, B: Unique solution C: Infinitely many

  1. #1
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    Find solutions such that A: no solution, B: Unique solution C: Infinitely many

    Find solutions such that A: no solution, B: Unique solution C: Infinitely many

    Question Details:

    X1 + hX2 = 2
    4X1+8X2= k

    I get that h = -15 will be inconsistent (no solution)
    h = Real number expect -15 will be unique ( i think)
    I don't know how i will get infinitely many.
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  2. #2
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    Quote Originally Posted by nomana123 View Post
    Find solutions such that A: no solution, B: Unique solution C: Infinitely many

    Question Details:

    X1 + hX2 = 2
    4X1+8X2= k

    I get that h = -15 will be inconsistent (no solution)
    h = Real number expect -15 will be unique ( i think)
    I don't know how i will get infinitely many.
    I'm assuming the X1 and X2 are subscripted.

    x_1 + hx_2 = 2

    4x_1 + 8x_2 = k

    no solution if h = 2 and k \ne 8

    unique solution if h \ne 2

    infinite solutions if h = 2 and k = 8
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  3. #3
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    only unique answers for this

    I wanted to ask this question original sorry. Thank you.

    1 -3 -2
    5 h -7

    If, -5R1 + R2
    = 1 -3 -2
    0 15+h 3


    now when h = -15 => inconsistent, when h doesn't equal -15 unique solutions. Infinite is not possible?
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