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