when solving 4x-3=5 the property used in the first step is the____ property of equality

Question

when solving 4x-3=5 the property used in the first step is the____ property of equality

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3 years 2021-07-26T10:12:54+00:00 2 Answers 29 views 0

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    0
    2021-07-26T10:14:27+00:00

    Hi there!  

    »»————- ★ ————-««

    I believe your answer is:  

    “When solving 4x-3=5 the property used in the first step is the addition property of equality.”

    \boxed{x = 2}

    »»————- ★ ————-««  

    Here’s why:  

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    • We would ‘undo’ operations to solve for x.
    • We would have to remove the ‘-3’ first. Since the opposite of subtraction is addition, we would use the addition property of equality.

    ⸻⸻⸻⸻

    \boxed{\text{Solving for 'x'....}}\\\\4x-3=5\\----------\\\text{\textbf{Addition Property of Equality:} Add three on both sides.}}\\\\\rightarrow 4x - 3 = 5 \\\rightarrow 4x -3 + 3 = 5 + 3\\\\\rightarrow \boxed{4x = 8}\\\\\text{\textbf{Division Property of Equality:} Divide both sides by 4.}}\\\\\rightarrow {4x=8}\\\rightarrow \frac{4x=8}{4}\\\\\rightarrow \boxed{x = 2}

    ⸻⸻⸻⸻

    »»————- ★ ————-««  

    Hope this helps you. I apologize if it’s incorrect.  

    0
    2021-07-26T10:14:38+00:00

    Answer:

    x = 2

    Step-by-step explanation:

    4x-3 + 3 =  5 + 3

    4x = 8

    4x ÷ 4 = 8 ÷ 4

    x = 2

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