Question - Equivalence of Equations Evaluation
Solution:
The image shows a question that asks to select all of the equations that are equivalent to the equation "19d -2". Four different equations are listed as options. The equivalency check here would involve the use of properties of equality to ensure the expressions remain equivalent if the same operations are applied to both sides of these equations. Let me evaluate each option.For the first equation:18 + 19d = 54To check if it is equivalent to the original equation, we should isolate 19d on one side. Subtracting 18 from both sides gives us:19d = 54 - 1819d = 36This is not equal to 19d - 2, so this equation is not equivalent to the original equation.For the second equation:19d + 22 = 66Subtracting 22 from both sides to isolate 19d:19d = 66 - 2219d = 44Again, this is not equal to 19d - 2, so this equation is not equivalent to the original equation.For the third equation:19d + 19 = 76Subtracting 19 from both sides:19d = 76 - 1919d = 57This is not equal to 19d - 2, so this equation is not equivalent to the original equation either.For the fourth equation:19d + 6 = 12Subtracting 6 from both sides:19d = 12 - 619d = 6This is not equal to 19d - 2, so this equation is also not equivalent to the original equation.None of the provided options is equivalent to "19d - 2".
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