Book Maths Puzzle Algebra

Solve by factoring x^2-x-6=0

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Book Other Question

Sorry, I didn't write the whole problem...A hotel purchased 38 bath towels and 61 washcloths for a total cost of $791.50. A second purchase of 54 bath towels and 50 washcloths, at the same prices, cost $923. Find the individual prices of the bath towels and washcloths. Hopefully this is more clear and able to be done. Thank you!!! solving linear equation

(3x+5)/7 + (4x-9)/6 = 38x