Answer:
5x - 2y = 30
x + y = 35
Step-by-step explanation:
Number of correct answers = x
Number of incorrect answers = y
Points won per correct answer = 5
Points lost per incorrect answer = 2
If Reggie received 30 points :
Required equation :
(points won per correct answer * number of correct answers) + (points lost per incorrect answer * number of incorrect answers)
5x + (-2y) = 30
5x - 2y = 30
Equation showing that Reggie answer all 35 questions :
Number of correct answers + number of incorrect answers = 35
x + y = 35
