Question

The linear equation was solved using these steps.

Linear equation: 1
3
(12x + 15) = 7

Step 1: 4x + 5 = 7

Step 2: 4x = 2

Step 3: x = 1
2

The property that was used in step 1 was the
.
The property that was used in step 2 was the
.
The property that was used in step 3 was the
.

Answer 1

Explanation:

The properties used in each step of solving the linear equation are as follows:

Step 1: To isolate the variable term on one side of the equation, the property used is subtraction property of equality. Subtracting 5 from both sides of the equation maintains the equality.

Step 2: To solve for x, the property used is division property of equality. Dividing both sides of the equation by 4 gives the value of x.

Step 3: The expression x = 1/2 represents the final solution of the equation. This is not necessarily a specific property, but rather the result of performing the previous operations correctly.

Therefore, the properties used in each step are as follows:

Step 1: Subtraction property of equality.

Step 2: Division property of equality.

Step 3: Representation of the solution.