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Questions and Answers
What is the first step in solving a system of equations?
What is the first step in solving a system of equations?
- Identify the variables in each equation (correct)
- Graph the system of equations
- Find the slope-intercept form of each equation
- Substitute one equation into the other
When solving a system of equations, what does it mean if there is no solution?
When solving a system of equations, what does it mean if there is no solution?
- The system is dependent
- The system has one unique solution
- The system has infinitely many solutions
- The system is inconsistent (correct)
What does it mean if the solution to a system of equations is a pair of real numbers?
What does it mean if the solution to a system of equations is a pair of real numbers?
- The system is inconsistent
- The system has one unique solution (correct)
- The system has infinitely many solutions
- The system has no solution
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Study Notes
Solving Systems of Equations
- The first step in solving a system of equations is not explicitly stated, but it often involves writing the equations in a standard form and identifying the variables and constants.
Characteristics of Solutions
- If there is no solution to a system of equations, it means that there are no values of the variables that satisfy all the equations simultaneously, indicating an inconsistent system.
- If the solution to a system of equations is a pair of real numbers, it means that the system has a unique solution, and the values of the variables can be expressed as real numbers.
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