10
QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 10 • Mathematics III

Which ordered pair (c,d) is the solution to the given system of linear equations? negative c plus 2 d is equal to 13 negative 9 c minus 4 d is equal to negative 15

Answer
A
open paren negative 1 comma 7 close paren
B
open paren negative 1 comma 6 close paren
C
open paren 7 comma 10 close paren
D
open paren 6 comma negative 1 close paren

Explanation

Multiply the first equation, −c + 2d = 13, by 2 to get −2c + 4d = 26. Adding the second equation, −9c − 4d = −15, gives −11c = 11, so c = −1; substituting this into the first equation gives d = 6. The solution is (−1, 6), choice A.

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