20
QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 20 • Mathematics III

Which statement describes the solution to the system of equations? 2 h plus 8 k is equal to 6 negative 5 h minus 20 k is equal to negative 15

Answer
A
The system has exactly two solutions.
B
The system has infinitely many solutions.
C
The system has no solutions.
D
The system has exactly one solution.

Explanation

Multiplying the first equation, 2h + 8k = 6, by −2.5 gives −5h − 20k = −15, which is exactly the second equation. So both equations describe the same line and every point on that line is a solution; the system has infinitely many solutions.

AI-written and checked against the verified answer.

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