Questions: Solve the equation below, and check the solution. z/3 = -11 The solution set is □

Solve the equation below, and check the solution. z/3 = -11 The solution set is □
Transcript text: Solve the equation below, and check the solution. \[ \frac{z}{3}=-11 \] The solution set is $\square$
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Solution

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Solution Steps

To solve the equation \(\frac{z}{3} = -11\), we need to isolate \(z\). This can be done by multiplying both sides of the equation by 3. After finding the value of \(z\), we can check the solution by substituting it back into the original equation.

Step 1: Isolate \( z \)

To solve the equation \(\frac{z}{3} = -11\), we need to isolate \( z \). We do this by multiplying both sides of the equation by 3: \[ z = -11 \times 3 \]

Step 2: Calculate \( z \)

Perform the multiplication: \[ z = -33 \]

Step 3: Verify the Solution

To verify the solution, substitute \( z = -33 \) back into the original equation: \[ \frac{-33}{3} = -11 \] Since the left-hand side equals the right-hand side, the solution is verified.

Final Answer

\(\boxed{z = -33}\)

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