Question

Natalie was given a 30 question test. For each correct question she answered she earned 2 points. For every incorrect answer she lost 1 point. Her final score was 54 points. The system of equations descibes the relationship between thw number of questions she answered correctly and the number of questions she answered incorrectly. Part of the solution of the equations is y=2. x+y=30 2x-y=54. The answers are the number of points Natalie lost from questions she answered incorrectly, the number of questions Natalie answered incorrectly, the number of points Natalie earned from questions she answered correctly, the number of questions Natalie answered correctly.

Answer 1

Answer:

2x-y=54

2x - 2 = 54

2x -2 + 2 = 54 + 2

2x = 56

2/2x = 56/2

x = 28

Step-by-step explanation:

y=2

x+y=30

2x-y=54

2x - 2 = 54

2x -2 + 2 = 54 + 2

2x = 56

2/2x = 56/2

x = 28