5
QuizMultiple Choice

Exploring Systems of Linear Equations — Quiz

Question 5 • Mathematics 8

Tina wrote the equations 3 x minus y is equal to 9 and 4 x plus y is equal to 5 What can Tina conclude about the solution to this system of equations?

Answer
A
open paren negative 2 comma 3 close paren is a solution to the system of linear equations.
B
open paren negative 3 comma 2 close paren is a solution to the system of linear equations.
C
open paren 2 comma negative 3 close paren is a solution to the system of linear equations.
D
open paren 3 comma negative 2 close paren is a solution to the system of linear equations.

Explanation

Add the equations 3x − y = 9 and 4x + y = 5. The y terms cancel, giving 7x = 14, so x = 2. Substitute into 4x + y = 5: 8 + y = 5, so y = −3. Therefore, (2, −3) is the solution, which is choice C.

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