2
AssignmentMultiple Choice

Modeling with Linear Systems

Question 2 • EAP-Algebra Functions and Data Analysis A CR

In which of the following systems can elimination be used to eliminate a variable by performing addition only?

Answer
A
2x – y = 8 x – 2y = 9
B
2x – y = 8 x – 2y = 9
C
2x – 4y = –25x – 2y = –2
D
2x + y = 83x – y = 4

Explanation

In choice D, the y-coefficients are +1 and −1. Adding the equations, 2x + y = 8 and 3x − y = 4, cancels the y terms without first multiplying either equation. The other systems do not have opposite coefficients for a variable as written.

AI-written and checked against the verified answer.