40
practice examMultiple Choice

Practice Exam

Question 40 • Mathematics III

Which system of equations is consistent and dependent?

Answer
A
5 x plus 4 y is equal to negative 30 3 x minus 9 y is equal to negative 18
B
2 x plus 3 y is equal to negative 6 2 x plus 3 y is equal to negative 12
C
3 x plus 2 y is equal to 3 6 x plus 4 y is equal to 6
D
4 x plus 6 y is equal to 2 4 x plus 6 y is equal to 1

Explanation

A system is consistent and dependent when both equations describe the same line, so it has infinitely many solutions. In choice C, multiplying 3x + 2y = 3 by 2 gives 6x + 4y = 6, which is exactly the second equation. Therefore, the correct choice is C, the system with 3x + 2y = 3 and 6x + 4y = 6.

AI-written and checked against the verified answer.

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