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Which of the following statements is true regarding the solutions of the equatio

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Question: Which of the following statements is true regarding the solutions of the equation 5x + 2y = 10?

Options:

  1. It has no solutions.
  2. It has one solution.
  3. It has infinitely many solutions.
  4. It has two solutions.

Correct Answer: It has one solution.

Solution:

This linear equation represents a line, which has infinitely many solutions.

Which of the following statements is true regarding the solutions of the equatio

Practice Questions

Q1
Which of the following statements is true regarding the solutions of the equation 5x + 2y = 10?
  1. It has no solutions.
  2. It has one solution.
  3. It has infinitely many solutions.
  4. It has two solutions.

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the solutions of the equation 5x + 2y = 10?
  • Step 1: Understand that the equation 5x + 2y = 10 is a linear equation in two variables (x and y).
  • Step 2: Recognize that a linear equation in two variables represents a straight line on a graph.
  • Step 3: Know that any point (x, y) that lies on this line is a solution to the equation.
  • Step 4: Since a line has infinitely many points, there are infinitely many solutions to the equation 5x + 2y = 10.
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