Questions: Determine whether the given value is a solution of the given equation. Is -6 a solution of 5.5 y=-33 ? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Type an integer or a decimal.) A. -6 is not a solution of 5.5 y=-33 because replacing y with -6 and simplifying results in =-33, which is a false statement. B. -6 is a solution of 5.5 y=-33 because replacing y with -6 and simplifying results in =-33, which is a true statement.

Determine whether the given value is a solution of the given equation. Is -6 a solution of 5.5 y=-33 ? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Type an integer or a decimal.) A. -6 is not a solution of 5.5 y=-33 because replacing y with -6 and simplifying results in =-33, which is a false statement. B. -6 is a solution of 5.5 y=-33 because replacing y with -6 and simplifying results in =-33, which is a true statement.
Transcript text: Determine whether the given value is a solution of the given equation. Is -6 a solution of $5.5 y=-33$ ? Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Type an integer or a decimal.) A. -6 is a not solution of $5.5 \mathrm{y}=-33$ because replacing $y$ with -6 and simplifying results in $\square=-33$, which is a false statement. B. -6 is a solution of $5.5 y=-33$ because replacing $y$ with -6 and simplifying results in $\square=-33$, which is a true statement.
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Solution

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Solution Steps

To determine if -6 is a solution to the equation \(5.5y = -33\), substitute -6 for \(y\) in the equation and check if the left-hand side equals the right-hand side. If they are equal, then -6 is a solution; otherwise, it is not.

Step 1: Substitute \(-6\) into the Equation

Substitute \(y = -6\) into the equation \(5.5y = -33\).

Step 2: Calculate the Left-Hand Side

Calculate the left-hand side of the equation: \[ 5.5 \times (-6) = -33.0 \]

Step 3: Compare Both Sides

Compare the left-hand side \(-33.0\) with the right-hand side \(-33\). Since \(-33.0 = -33\), the equation holds true.

Final Answer

Since substituting \(-6\) into the equation results in a true statement, \(-6\) is a solution of the equation \(5.5y = -33\). Therefore, the answer is \(\boxed{\text{B}}\).

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