17
QuizMultiple Choice

Systems and Sequences — Test

Question 17 • Algebra II

Which statement describes the system of equations? negative 5 x minus 4 y is equal to negative 4 25 x plus 20 y is equal to 20

Answer
A
The system has infinitely many solutions.
B
It has one solution open paren 8 comma negative 9 close paren .
C
The system has no solution.
D
It has one solution open paren 4 comma negative 4 close paren .

Explanation

Multiplying the first equation, −5x − 4y = −4, by −5 gives 25x + 20y = 20, which is exactly the second equation. Both equations describe the same line, so every point on that line is a solution. Therefore, the system has infinitely many solutions.

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