Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Reba plans to attend the Union County Fair and is trying to decide what would be a better deal. She can pay $30 for unlimited rides, or she can pay $18 for admission plus $2 per ride. If Reba goes on a certain number of rides, the two options wind up costing her the same amount. What is that cost? How many rides is that?

It will cost Reba $ _ for both options if she goes on _ rides.

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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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