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21 November, 10:23

Which linear equations have an infinite number of solutions? Check all that apply.

(x - 3/7) = 2/3 (3/2x - 9/14)

8 (x + 2) = 5x - 14

12.3x - 18 = 3 (-6 + 4.1x)

1/2 (6x + 10) = 7 (3/7x - 2)

4.2x - 3.5 = 2.1 (5x + 8)

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  1. 21 November, 10:26
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    Simplify each equation and look for ones which solve to a simple numeric equality:

    First equation solves to - 3/7=-18/42 ... take a 6 from 18 and 42, and you get - 3/7. - 3/7=-3/7 which is true - that means that, no matter what value is inserted for x, a true equation will result = infinite number of solutions

    Second equation simplifies to 3x=-30. Nope

    Third equation simplifies to - 18=-18 = infinite number of solutions

    Fourth eq: 5=-7/2 = No solution

    5th eq: 6.2x=-3.5-16.2 = nope
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