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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?

It has no solutions.
It has one solution.
It has infinitely many solutions.
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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