Question

Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields Step 3.

Answer 1

The property used in Step 3 is the subtraction and addition property of equality.

Explanation:

To solve the given equation several steps are used

Given equation - 5(x-3)=7 x/2

Step 1 : 10(x-3) = 7 x (Multiplication property of equality)

Step 2: 10 x - 30 = 7 x

Step 3: 3 x = 30 (Subtraction and addition property of equality)

Step 4: x = 10

Answer 2

Solving 5(x - 3) = 7x/2

Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0 . . . . . . addition (or subtraction) property of equality
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10