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24 March, 09:15

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

2x-4=3^-x + 1

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  1. 24 March, 11:53
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    2x-4=3-x + 1

    Simplifying 2x + - 4 = 3 + - 1x + 1

    Reorder the terms: - 4 + 2x = 3 + - 1x + 1

    Reorder the terms: - 4 + 2x = 3 + 1 + - 1x

    Combine like terms: 3 + 1 = 4 - 4 + 2x = 4 + - 1x

    Solving - 4 + 2x = 4 + - 1x

    Solving for variable 'x'.

    Move all terms containing x to the left, all other terms to the right.

    Add 'x' to each side of the equation. - 4 + 2x + x = 4 + - 1x + x

    Combine like terms: 2x + x = 3x - 4 + 3x = 4 + - 1x + x

    Combine like terms: - 1x + x = 0 - 4 + 3x = 4 + 0 - 4 + 3x = 4

    Add '4' to each side of the equation. - 4 + 4 + 3x = 4 + 4

    Combine like terms: - 4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4

    Combine like terms: 4 + 4 = 8 3x = 8

    Divide each side by '3'. x = 2.666666667

    Simplifying x = 2.666666667
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