math

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.

I have no idea?

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  1. The same variable on both sides?

    If not, just any linear equation with two variables will work, such as

    2x+3 = y-7

    You can pick any value for x (or y) and find a solution for the other variable.

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  2. OK what?

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  3. if it has to be the same variable on both sides try something like:

    7x + 1 = 3x + 5 + 4x -4

    in other words
    0 x = 0

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  4. Try, 3x + 5 = 3x + 5

    As you can see the equation is equal to itself and if you subtract 3x from both sides you will get 5 = 5. The idea behind infinite solutions is that no matter what number you use for the variable, in this case x, the answer will always be true.

    Let x = -4

    So, 3x + 5 = 3x + 5

    3(-4) + 5 = 3(-4) +5

    -7 = -7

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  5. Thank you Farohw!

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