9
QuizMultiple Choice

Exploring Systems of Linear Equations — Quiz

Question 9 • Mathematics 8

Which system of linear equations has the ordered pair open paren 4 comma negative 5 close paren as a solution?

Answer
A
5 x minus 6 y is equal to 49 and x plus 8 y is equal to negative 27
B
6 x minus y is equal to negative 29 and 8 x plus 3 y is equal to negative 17
C
2 x minus 5 y is equal to negative 30 and 7 x plus 4 y is equal to negative 19
D
3 x minus 2 y is equal to 22 and 2 x plus 9 y is equal to negative 37

Explanation

Substitute x = 4 and y = −5 into both equations in each system. In choice D, 3(4) − 2(−5) = 12 + 10 = 22, and 2(4) + 9(−5) = 8 − 45 = −37. Both equations are true, so choice D, the system with those equations, has the ordered pair as a solution.

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