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22 February, 08:47

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

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  1. 22 February, 12:44
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    One example is the equation:

    2x + 6 = 4x/2 + 12/2

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

    2x - 4x/2 = 12/2 - 6

    2x - 2x = 6 - 6

    0 = 0

    Since both sides are zero, it means that the equation has infinite number of solutions.
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