MATH SOLVE

2 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 gets us from Step 3 to Step 4. A) Division Property C) Subtraction Property B) Addition Property D) Multiplication Property

Accepted Solution

A:

Answer: B) Addition Property Step-by-step explanation: The Step 3 is: [tex]3x-30=0[/tex] The idea is to solve the equation, which means that you have to find the value of the variable [tex]x[/tex]. As [tex]3x-30[/tex] is a subtraction, you need to add 30 to both sides of the equation to keep the equation balanced. This property is known as "Addition property of equality". This property states that adding the same number to both sides of the equation, the equality does not change: [tex]a=b\\a+n=b+n[/tex] Then, the Addition property of equality applied in Step 3, get you to Step 4: [tex]3x-30+(30)=0+(30)\\3x=30[/tex]