Questions: QUESTION 10 If the systems of linear equations has many (infinte) solutions, then it is considered a. Decay, Decrease b. Inconsistent c. Graphing, Substitution, and Elimination d. Consistent, Independent e. Growth, Increase f. Consistent, Dependent

QUESTION 10 If the systems of linear equations has many (infinte) solutions, then it is considered a. Decay, Decrease b. Inconsistent c. Graphing, Substitution, and Elimination d. Consistent, Independent e. Growth, Increase f. Consistent, Dependent
Transcript text: QUESTION 10 If the systems of linear equations has many (infinte) solutions, then it is considered a. Decay, Decrease b. Inconsistent c. Graphing, Substitution, and Elimination d. Consistent, Independent e. Growth, Increase f. Consistent, Dependent
failed

Solution

failed
failed

Solution Steps

To determine the nature of a system of linear equations, we need to analyze the number of solutions it has. A system with infinitely many solutions is considered "consistent and dependent." This means the equations describe the same line or plane, leading to overlapping solutions.

Step 1: Understanding the Nature of the System

A system of linear equations can have three types of solutions: no solution, exactly one solution, or infinitely many solutions. When a system has infinitely many solutions, it means that the equations are dependent, and they describe the same line or plane in a geometric sense.

Step 2: Classifying the System

For a system with infinitely many solutions, it is classified as "consistent and dependent." This classification indicates that the equations are not independent and overlap completely, leading to an infinite number of solutions.

Final Answer

The system with infinitely many solutions is classified as \(\boxed{\text{Consistent, Dependent}}\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Use graphs to find the set. ((-∞, 0) cap [-8,1)) Select the correct choice below and fill in any answer boxes within your choice. A. The set is (Type your answer in interval notation.) B. The answer is the empty set.
failedAnswered
What is the average rate of change of g over the interval -3 ≤ t ≤ 1? Give an exact number.
failedAnswered
Choose the correct vector as a result of applying the rotation matrix to v, shown in the graph to the right. [2-sqrt(3), 1+sqrt(3)] [-4, -2] [-2, 4] Rotation Matrix [-1 0, 0 -1]
failedAnswered
25 of 30 Concepts completed Multiple Choice Question A wheel is free to rotate about a line passing perpendicularly through its center. Only one torque is applied to the wheel. From your point of view (looking along the axis of rotation), the torque causes the wheel to rotate faster in the counterclockwise direction. Identify the direction of the torque exerted on the wheel. Vertically upward Vertically downward Away from you To your right Toward you To your left Need help? Review these concept resources.
failedAnswered
PRACTICE IT What does the P wave represent in an ECG waveform? The electrical activity associated with the atrial contraction (atrial depolarization). The electrical activity associated with the ventricular relaxation (ventricular repolarization). The electrical activity associated with the contraction of the Purkinje fibers. The electrical activity associated with the ventricular contraction (ventricular depolarization). The electrical activity associated with the atrial relaxation (atrial repolarization).