Teach me the equation of degree 2, Specific application questions, examples. Besides substituting elimination method?

Teach me the equation of degree 2, Specific application questions, examples. Besides substituting elimination method?


Dogtail grass,
There are 15 adults and children going to a concert. The tickets are 5 yuan for adults and 3 yuan for children. The total amount of tickets is 65 yuan. How many adults and children are there?
There are x adults and y children in the solution. According to the meaning of the question, there are x + y = 15 ①, 5x + 3Y = 65 ②, ① * 5 - ②, 2Y = 75-65, y = 5, substituting ①, x = 10



Who can tell me what to do with the equation of degree 1 with 2 variables
Such as this question
(1)[X=﹣7
3y+1=2
(2){X+2y=7
3y+1=2


{x=-7
y=1/3
(2)
{x=19/3
y=1/3