Question

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.
thxs

Answers

  1. Answer:
    No
    There are infinitely many solutions to the system.
    {36x+21y=24312x+7y=81
    Multiply the second equation by 3.
    3(12x+7y36x+21y=81)=243
    Subtract this new equation from the first equation.
    36x+21y−(36x+21y0+0=243=243)=0 true

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