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11 October, 20:06

How many solutions does 6 - 3x = 12 - 6x have?

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  1. 11 October, 20:29
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    1 solution

    Step-by-step explanation:

    Remark

    1 solution

    Rule: the number of solutions to an equation is at most the same number as the highest number on the variable. for example

    x^3 + 4x^2 - 6x - 15 has at most 3 real solutions because the highest power is x^3

    x^n + x^ (n - 1) ... has at most n real solutions. It can have fewer.

    Solution

    So 6 - 3x = 12 - 6x Subtract 6 from both sides

    6 - 6 - 3x = 12 - 6 - 6x Combine

    -3x = 6 - 6x Add 6x to both sides

    -3x + 6x = 6 Combine

    3x = 6 Divide by 3

    x = 6/3 = 2

    Check

    6 - 3 (2) = 12 - 6 (2)

    0 = 0 which checks
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