Several families are in line to enter a water park. The first family pays $54 for two adult tickets and two child tickets. The second family pays $105 for 3 adults and 5 children. What are the ticket prices for children?

adult tickets 15

child tickets  12

Step-by-step explanation:

2x + 2y = 54   L1

3x + 5y = 105  L2

3L1 - 2L2

6x + 6y = 162

-6x - 10y = -210

-4y = -48

y = -48/-4

y = 12

2x + 2y = 54

2x +2(12) = 54

2x + 24 = 54

2x = 54 - 24

2x = 30

x = 15

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this