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14 August, 01:06

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve and explain why it has an infinite number of solutions

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  1. 14 August, 01:18
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    4 (x - 2) + x = 5x + 8

    Step-by-step explanation:

    In an equation with a single variable, if that variable value is any integer divided by zero then it will have infinite numbers of solutions.

    Example

    4 (x - 2) + x = 5x + 8

    To solve this, we need to rearrange like terms to the same side.

    4x - 8 + x = 5x + 8

    4x + x - 5x = 8 - 8

    5x - 5x = 0

    x (5-5) = 0

    x (0) = 0

    x = 0 / 0

    x = ∞

    Since zero is in denominator, it means that the equation has infinite number of solutions.
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