Application problem, please use 2 yuan 1 solution A basketball player scored 24 points in 12 of 23 shots in a game. The number of two-point shots is twice that of three-point shots. How many three-point shots did the basketball player hit? How many two-point shots? How many free throws did he make?

Application problem, please use 2 yuan 1 solution A basketball player scored 24 points in 12 of 23 shots in a game. The number of two-point shots is twice that of three-point shots. How many three-point shots did the basketball player hit? How many two-point shots? How many free throws did he make?

Suppose x three-point shots are hit, then 2x two-point shots and Y free throws
x+2x+y=12
3x+2(2x)+y=24
Solution
x=3
y=6
A: three three-point goals, six two-point goals and six free throws

The calculation problem of linear equations with two variables
20 is enough. You'd better have a denominator. It doesn't matter if you don't have one,

For the system of linear equations of two variables I, 1, the known equation 3x + 5y-3 = 0, y is expressed by an algebraic expression containing x, then y=________ 2. If xa-b-2-2ya + B = 3 is a quadratic equation of two variables, then a=________ 3. If + (2x-y) 2 = 0, then x2-y=________ 4. Equation 5x + 7Y = 21 has________ 5

Given the line segment CD, extend CD to B, make DB = 2CD, extend AC to a, make AC = 1 / 2 CB, if AB = 18cm, then CD =? (write the formula and solution) urgent!

Let CD = x, then BD = 2x, BC = 3x, AC = 3 / 2x,
Then AB = x + 2x + 3 / 2x = 18, the solution is x = 4cm, that is, CD = 4cm

Let a be m * n type matrix and at be transposed matrix of A. It is proved that a and at are symmetric matrices

This requires properties:
1. (AB) '= b'a', where a 'denotes the transpose of A
2. A is a symmetric matrix if and only if a '= a
Then there is
(AA')' = (A')'A' = AA'
So the symmetric matrix of AA '

What is 2x & # 178; - X & # 178; equal to

X²

Find the indefinite integral of 1 / sin ^ 2 (x), note here is one of the square of sin X
Very simple, SiNx = 1 / CSCX

Integral = ∫ CSC & # 178; X DX = - Cotx + C

When two positive integers are added, a two digit number with the same digits is obtained. When the two numbers are multiplied, a three digit number with the same digits is obtained. The original two numbers are______ ．

∵ the sum of these two numbers is two digits, ∵ they are not more than two digits, ∵ the three digits of the product are the same, ∵ the product can be written in the form of 111t (1 ≤ t ≤ 9, t is an integer), ∵ 111t = 37 × 3T, ∵ one of these two numbers must be 37 or 74, if one is 37, then the other is 18; if one is 74, after experiment, the other is 3. So the answer is: 37 and 18 or 74 and 3

What is the square of a + 2A + B - 6B + 10 = 0 a and B

a²+2a+b²-6b+10=0
（a+1）²+（b-3）²=0
The sum of two nonnegative numbers gets zero
a+1=0 b-3=0
That is, a = - 1, B = 3

List five digit numbers composed of five elements: 1, 2, 3, 4 and 5. It is required to use five numbers at the same time, such as 12345, 12354 and 12543. Complete list, one for each line

12345
twelve thousand three hundred and fifty-four
twelve thousand four hundred and thirty-five
twelve thousand four hundred and fifty-three
twelve thousand five hundred and thirty-four
twelve thousand five hundred and forty-three
thirteen thousand two hundred and forty-five
thirteen thousand two hundred and fifty-four
thirteen thousand four hundred and fifty-two
thirteen thousand four hundred and twenty-five
thirteen thousand five hundred and twenty-four
thirteen thousand five hundred and forty-two
fourteen thousand two hundred and thirty-five
fourteen thousand two hundred and fifty-three
fourteen thousand three hundred and twenty-five
fourteen thousand three hundred and fifty-two
fourteen thousand five hundred and twenty-three
fourteen thousand five hundred and thirty-two
fifteen thousand two hundred and thirty-four
fifteen thousand two hundred and forty-three
fifteen thousand three hundred and forty-two
fifteen thousand three hundred and twenty-four
fifteen thousand four hundred and twenty-three
fifteen thousand four hundred and thirty-two
Just follow the rules

If x is 3 times n power = 10, then x is 6 times n power =?

The power of 6 times n of X
=(3 times n power of x) & #178;
=10²
=100