Solving Systems: Introduction to Linear Combinations — Quiz
Question 9 • Mathematics I
What is the solution to this system of linear equations? x minus 3 y is equal to negative 2; x plus 3 y is equal to 16
Answer
A
negative 2 comma negative 3
B
3 comma 7
C
7 comma 3
D
negative 3 comma negative 2
Explanation
Add the equations x − 3y = −2 and x + 3y = 16 to eliminate y: 2x = 14, so x = 7. Substitute into x + 3y = 16 to get 7 + 3y = 16, so y = 3; the solution is 7, 3, choice C.
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