Two movie tickets and three concert tickets cost $21. Three movie tickets and 2 concert tickets cost $19. Each ticket costs a whole number of dollars.How much does 1 movie ticket cost?How much does 1 concert ticket cost?

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Suggested Answer

one concert ticket=5 and one movie ticket=3

Suggested Answer

Answer:movie ticket = $3 concert = 5$Step-by-step explanation:Movie = m Concert = c2m + 3c = 213m + 2c = 19First find the value of one of the variables by isolating them3m + 2c = 193m = 19 - 2cm = 19/3 - 2c/3Input the value for that variable into the other problem2(19/3 - 2c/3) + 3c = 2138/3 - 4c/3 + 3c = 2138/3 + 5c/3 = 215c/3 = 21 - 38/35c/3 = 63/3 - 38/35c/3 = 25/35c = 25c = 5Now that we've found the actual value for c plug that into any of the 2 problems and solve for m 3m + 2(5) = 193m + 10 = 193m = 9m = 3Movie = 3 Concert = 5