So here you're using system of equations. You can solve systems by graphing, elimination, or substitution. Ill use substitution. First lets solve for x. take the second equation and add y to both sides to get x by itself: x - y = 75 x = y + 75 now plug y+75 in for x in the first equation x + y = 743 (y +75) +y = 743 solve for y 2y +75 = 743 subtract 75 2y = 668 divide both sides by 2 y = 334 now plug this into any of the 2 equations to solve for x i chose the second one x - y = 75 x - 334 = 75 add 334 to both sides x = 409 This means x, sold before the tournament is 409 and y, sold at the door is 334. That means the assistant is wrong and accidentally flipped the two answers
Sample Response: No, the assistant’s solution is incorrect. The solution (334, 409) satisfies the first equation, but not the second. The assistant mixed up the numbers. The solution should be (409, 334)
Reasonings
are divided into three categories: (1) inductive, (2) deductive, and (3) causal
reasoning. The type of reasoning that is depicted in the given above is
inductive reasoning. This is because Kim was able to derive to a conclusion by
citation of different examples. Among the three categories, inductive reasoning
is the most commonly used.
