MATH SOLVE

6 months ago

Q:
# 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.

Accepted Solution

A:

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

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