Question
Emaan used row operations on an augmented matrix representing a system of equations and obtained the following result.
How many solutions does Emaan’s system of equations have?
A. 0
B. 1
C. 2
D. infinitely many
How many solutions does Emaan’s system of equations have?
A. 0
B. 1
C. 2
D. infinitely many
Ask by Wagner Deleon. in the United States
Jan 24,2025
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Answer
Emaan’s system has infinitely many solutions.
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Mind Expander
Emaan’s augmented matrix can be simplified further using row operations. Notice that the second row (5, -10, 35) is simply 5 times the first row (1, -2, 7). This indicates that both equations represent the same line, leading to infinitely many solutions. Therefore, the answer is D. infinitely many.
When two equations represent the same line in a two-dimensional space, it’s like dancing to the same tune – infinitely many points where they overlap! So, think of it as having a treasure map where the treasure is buried all along that line!