The senior classes at high school a and high school b planned separate trips to new york city. the senior class at high school a rented and filled 1 van and 6 buses with 372 students. high school b rented 4 vans and 12 buses with 780 students. each can and each bus carries the same number of students. how many students can a van carry? how many students can a bus carry

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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