6
QuizMultiple Choice

Solving Systems: Introduction to Linear Combinations — Quiz

Question 6 • Mathematics I

What is the solution to this system of linear equations? 2 x plus y is equal to 1; 3 x minus y is equal to negative 6

Answer
A
1 comma negative 1
B
negative 1 comma 3
C
5 comma 0
D
2 comma 3

Explanation

Add the equations 2x + y = 1 and 3x − y = −6 to eliminate y: 5x = −5, so x = −1. Substitute into the first equation: 2(−1) + y = 1, which gives y = 3. The solution is (−1, 3), choice B.

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