WGU C277 Finite mathematics Exam with Questions and Answers

! It covers key domains which include; Linear Models and Systems, Linear Programming, Mathematics of Finance, Set Theory and Logic, Probability and Counting Principles and Markov Chains. A system of linear equations is given below: 2x + y = 7 x − y = 1 Which ordered pair (x, y) is the solution to the system? A. (2, 3) B. (3, 2) C. (8/3, 5/3) D. (1, 5) Correct Answer: C Rationale: Using elimination, add the two equations to eliminate y: (2x + y) + (x − y) = 7 + 1 → 3x = 8 → x = 8/3. Substitute into x − y = 1: 8/3 − y = 1 → y = 5/3. Thus, the unique solution is (8/3, 5/3), confirming intersection at a single point. Two linear equations represent lines in the coordinate plane: y = 2x + 3 y = 2x − 5 What is the correct conclusion about the system? A. The system has exactly one solution B. The system has no solution C. The system has infinitely many solutions D. The system has two solutions Correct Answer: B Rationale: Both equations have the same slope (2) but different y-intercepts (3 and −5). This means the lines are parallel and never intersect. A system with parallel distinct lines has no solution.