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In Mathematics / Middle School | 2014-11-20

For the graph shown, select the statement that best represents the given system of equations.

Equations:
1. \( 2y - 3x = 9 \)
2. \( 4y + 3x = 12 \)

Options:
A. Coincident
B. Not enough information
C. Inconsistent
D. Consistent and independent

Asked by kiersta9

Answer (3)

The equtaion has only one solution because they cut each other only once and the are independent ..as both line are different. So it would be (d) consistent and independent

Answered by jessicamejia | 2024-06-10

Answer: D. consistent and independent ;

Answered by JeanaShupp | 2024-06-12

The system of equations 2 y − 3 x = 9 and 4 y + 3 x = 12 represents two lines with different slopes, meaning they intersect at one point. Thus, the system is consistent and independent; the correct answer is D . They have one unique solution and are not parallel.
;

Answered by JeanaShupp | 2024-10-09

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