Represent Real-World Problems Two school groups go to a roller skating rink. One group pays $243 for 36 admissions and 21 skate rentals. The other group pays $81 for 12 admissions and 7 skate rentals. Let \(x\) represent the cost of admission and let \(y\) represent the cost of a skate rental. Is there enough information to find values for x and y? Explain.
Represent Real-World Problems Juan and Tory are practicing for a track meet. They start their practice runs at the same point, but Tory starts 1 minute after Juan. Both run at a speed of 704 feet per minute. Does Tory catch up to Juan? Explain.
Justify Reasoning A linear system with no solution consists of the equation \(y = 4x - 3\) and a second equation of the form \(y = mx + b\). What can you say about the values of \(m\) and \(b\)? Explain your reasoning.
Justify Reasoning A linear system with infinitely many solutions consists of the equation \(3x + 5 = 8\) and a second equation of the form \(Ax + By = C\). What can you say about the values of A, B, and C? Explain your reasoning.
Draw Conclusions Both the points (2, -2) and (4, -4) are solutions of a system of linear equations. What conclusions can you make about the equations and their graphs?
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