71
QuizMultiple Choice

N/A — Exam

Question 71 • Algebra II

What is the solution to the system of equations? 4 x minus 5 y is equal to negative 17 x plus 6 y is equal to 61

Answer
A
open paren negative 5 comma 11 close paren
B
open paren 7 comma 9 close paren
C
open paren 9 comma 7 close paren
D
open paren 11 comma negative 5 close paren

Explanation

The system is 4x − 5y = −17 and x + 6y = 61. For (7, 9), the first equation gives 4(7) − 5(9) = 28 − 45 = −17, and the second gives 7 + 6(9) = 61. So the solution is (7, 9), choice B.

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