Select the statement that is true for solving the equation x + 12 = 42(1 point)

Question

Responses

Add 12 to both sides of the equal sign. x = 54.
Add 12 to both sides of the equal sign. x = 54.

Subtract 12 from both sides of the equal sign. x = 54.
Subtract 12 from both sides of the equal sign. x = 54.

Add 12 to both sides of the equal sign. x = 30.
Add 12 to both sides of the equal sign. x = 30.

Subtract 12 from both sides of the equal sign. x = 30.
Subtract 12 from both sides of the equal sign. x = 30.
Question 2
Select the statement that is true for solving the equation x - 6 = 18(1 point)
Responses

Add 6 to both sides of the equal sign. x = 24.
Add 6 to both sides of the equal sign. x = 24.

Subtract 6 from both sides of the equal sign. x = 24.
Subtract 6 from both sides of the equal sign. x = 24.

Add 6 to both sides of the equal sign. x = 12.
Add 6 to both sides of the equal sign. x = 12.

Subtract 6 from both sides of the equal sign. x = 12.
Subtract 6 from both sides of the equal sign. x = 12.
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Answer 1

Let's solve each equation step by step to identify the correct responses:

Question 1: Solve the equation \( x + 12 = 42 \)

To isolate \( x \), we need to subtract 12 from both sides:

\[ x + 12 - 12 = 42 - 12 \] \[ x = 30 \]

The true statement is: Subtract 12 from both sides of the equal sign. x = 30.

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Question 2: Solve the equation \( x - 6 = 18 \)

To isolate \( x \), we need to add 6 to both sides:

\[ x - 6 + 6 = 18 + 6 \] \[ x = 24 \]

The true statement is: Add 6 to both sides of the equal sign. x = 24.

Summary of True Statements:

1. For Question 1: Subtract 12 from both sides of the equal sign. x = 30.
2. For Question 2: Add 6 to both sides of the equal sign. x = 24.