147k views
1 vote
Justify each step in the solution of 5x+15=0 below by stating a property or providing an explanation for each step.

1 Answer

1 vote

Final answer:

The solution of the equation 5x + 15 = 0 involves using the Subtraction and Division Properties of Equality, simplifying to 5x = -15 and then x = -3, and checking that the solution is reasonable by substituting back into the original equation.

Step-by-step explanation:

To justify each step in the solution of the equation 5x + 15 = 0, we apply mathematical operations and properties to isolate the variable x. The goal is to solve for x by getting it by itself on one side of the equation.

  • First, apply the Subtraction Property of Equality to both sides to cancel out the constant term, obtaining 5x = -15.
  • Next, use the Division Property of Equality by dividing both sides by 5, resulting in x = -3.
  • Finally, check the solution by substituting x into the original equation to ensure that the left-hand side equals the right-hand side. If this holds true, the solution is reasonable.

These methods streamline the problem-solving process and ensure the solution we get for x is accurate and reasonable, maintaining consistency with the foundational principles of algebra.

User MarcusAsplund
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories