How to calculate the concurrent equation, how to calculate the concurrent equation, and find the det

Question: Say that there are multiple tables in a room, how many people are there?

If there are 3 people per table, there are 2 more people.

If there are 5 people per table, there are 4 more people.

If there are 7 people per table, there are 6 more people.

If there are 9 people per table, there are 8 more people.

If there are 11 people at a table, it is exact.

How many people are in this room?

Because [3,5,7,9] = 315

So the total number of people should be 315m-1

and 11|315m-1 (11 divisible by 315m-1) and 11|2519

So there are at least 2,519 people.

2519 11 = 229 (sheets).

So there are 229 tables in the room.

A: There are 2,519 people in this room and there are 229 tables.

Solution 2: Solution: Set up this room with x tables and y people.

3x+2=y

5x+4=y

7x+6=y

9x+8=y

11x=y is connected to five equations.

Solution: x=229

y=2519

A: There are 2,519 people in this room and there are 229 tables.

Solution: There are x tables in this room, and there are Y people.

3x+2=y

5x+4=y

7x+6=y

9x+8=y

11x=y is connected to five equations.

Solution: x=229

y=2519

A: There are 2,519 people in this room and there are 229 tables.

Solution: 2ab-b=0

then b(2a-1)=0

b = 0 or 2a-1 = 0

i.e. b=0 or a=1 2

When b = 0, substitute into the fight, get the first disadvantage.

then a = 9, a = 3

When a=3, substitute , get.

9-3+m=0

m=-6 in the same way as a=-3, m=-12

When a=1 2, the corresponding result can be obtained according to the same idea.

Analysis: The breakthrough in this problem is the equation

Celery can be used to get x 2=y and y 2=x. The subtraction of the two games gives x 2-x=y-y 2, that is, x(x-1)=y(1-y), and only (0,0),(1,1) meet the conditions at this time.

It is easy to reduce the liquid phase of x pure manuscript y, y x, and the liquid phase of the two spike pants is subtracted to (x y) (x y) x y).

When x y 0, it is easy to get x y 0 or 1, when x y≠0, get x y guess 1, substitute x x 1 0, there is no solution, so the solution of the equation is (0,0),(1,1).

Example: For example, if you solve a system of equations {3x-y=-2;2y+5x=26 1, substitution method: substitute y=3x+2 into 2 formula in 1 formula to get 6x+4+5x=26 to get x=2 and then substitute 1 formula to get 3 2+2=y, that is, y=8 The solution of the system of equations is {x=2, y=8 2, elimination method:

Formula 1 2+2 gets: 6x+5x=-4+26 gets x=2 Substituting formula 2 gets 2y+10=26 gets y=8 There are many solutions, and the basic ones are these two.

Hello landlord.

First, subtract the above formula with the following formula to get (y

x). Then substitute into the original formula (whichever one) and find x

or y again according to (y

x) to find another unknown y or x thanks.

Take (a1q) and (a1q 4) to establish binary equations for two unknowns:

a1q)+(a1q^4)=18

a1q)×(a1q^4)=32

So these two variables are equations:

x -18x+32=0.

There are two sets of solutions: a1=1q=2

a1=4q=1/2