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12 October, 00:48

At a restaurant, you eat 2 taco salads and drink 2 glasses of iced tea. Your friend eats 1 taco salad and drinks 1 glass of ice tea. You get charged $11 and your friend $6.50. Can you determine the price of taco salads and iced tea? Explain.

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  1. 12 October, 01:12
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    Let x be taco salads, and y be drinks.

    The equations are as follows:

    1) 2x+2y=11

    2) x+y=6.50

    Use 2) to isolate for a variable, for example:

    3) y=6.50-x

    Using 3), substitute it back into 1) to solve for x.

    2x+2 (6.50-x) = 11

    2x-2x+13=11

    The x's cancel out, leaving you with:

    13=11

    This is not true, and therefore you cannot determine the prices of the taco salads or iced tea.
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