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28 April, 03:54

For the equation 2 (4x+10) = 8x+k, which value of K will create an equation with infinitely many solutions?

A. 4

B. 8

C. 20

D. 24

Also how would you solve this problem

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Answers (1)
  1. 28 April, 04:07
    0
    For given linear equation having infinite many solution the value of k is 20.

    Step-by-step explanation:

    Given as:

    The equation is 2 (4 x + 10) = 8 x + k

    For infinite many solution, if the variable cancel out to zero then it will have infinite many solutions

    So, from given linear equation

    i. e 2 (4 x + 10) = 8 x + k

    Or, 2 * 4 x + 2 * 10 = 8 x + k

    Or, 8 x + 2 * 10 = 8 x + k

    Or, 8 x + 20 = 8 x + k

    Or, k + (8 x - 8 x) = 20

    Or, k + 0 = 20

    ∴ k = 20

    So, The vale of k = 20

    Hence, For given linear equation having infinite many solution the value of k is 20. Answer
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