Tanya bought three adult tickets and one children's ticket to a movie for $22.10. Li bought five adult tickets and four children's tickets for $43.60. Find the cost of one adult ticket and the cost of one children's ticket.

Correct answer:

a =  6.4 USD
c =  2.9 USD

Step-by-step explanation:

3a+1c=22.10 5a+4c=43.60  3 a+1 c=22.10 5 a+4 c=43.60  3a+c=22.1 5a+4c=43.6  Pivot:Row1Row2 5a+4c=43.6 3a+c=22.1  Row253 Row1Row2 5a+4c=43.6 1.4c=4.06  c=1.44.06=2.9 a=543.64c=543.64 2.9=6.4=6.4 USD  a=532=6.4 c=1029=2.9

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