39
QuizMultiple Choice

N/A — Exam

Question 39 • Algebra II

Which statement describes the system of equations? 3 x minus 4 y is equal to negative 35 3 x plus 4 y is equal to 5

Answer
A
The system has no solution.
B
The system has infinitely many solutions.
C
It has one solution open paren negative 5 comma 5 close paren .
D
It has one solution open paren 5 comma negative 5 close paren .

Explanation

Add the equations to eliminate y: (3x − 4y) + (3x + 4y) = −35 + 5, so 6x = −30 and x = −5. Substitute into 3x + 4y = 5: −15 + 4y = 5, giving y = 5. The system has one solution, (−5, 5), which is choice C.

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