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which property of equality was used to solve this equation? \\(x - 5 = …

Question

which property of equality was used to solve this equation?

\\(x - 5 = -14\\)

\\(x - 5 + 5 = -14 + 5\\)

\\(x = -9\\)

addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality

Explanation:

Analyze the equation transformation

$$ LATEXBLOCK0 $$

Identify the operation performed

$$ \text{The number } 5 \text{ is added to both sides of the equation.} $$

Match with the property of equality

$$ \text{Adding the same number to both sides of an equation is the addition property of equality.} $$

Answer:

  • addition property of equality (Correct answer)
  • subtraction property of equality
  • multiplication property of equality
  • division property of equality