The complete process of connecting binary one time squares 30

Binary Linear Equation Definition.

If an equation contains two unknowns, and the number of unknowns it contains, the number is 1, then the integer equation is called a binary equation, with infinite solutions, and a finite number of solutions if the addition condition is limited. In the case of a system of binary equations, there is usually a solution, and sometimes there is no solution. The general form of a binary linear equation:

ax+by+c=0 (a, b is not 0).

Here's a simple example:

1)x-y=3

2)3x-8y=4

3)x=y+3

x=y+3 from (1) and substituting (2) to get it.

3×（y+3)-8y=4

It can be calculated that y=-1

So x=2 is the solution of the binary system of equations.

x=2y=1

There are also some ways to solve the problem as follows.

Example 1, 13x+14y=41 (1).

14x+13y=40 (2)

Solution: (2)-(1).

x-y=-1

x=y-1 (3)

Substitute (3) for (1).

13(y-1)+14y=41

13y-13+14y=41

27y=54

y=2 substitute y=2 into (3).

x=1So: x=1, y=2

Features: Add and subtract two equations, a single x or a single y, so that the next substitution elimination element is applicable.

2) Commutation method.

Example 2, (x+5)+(y-4)=8

x+5)-(y-4)=4

Let x+5=m, y-4=n

The original equation can be written as.

m+n=8m-n=4

The solution is m=6, n=2

So x+5=6, y-4=2

So x=1, y=6

Features: Both equations contain the same algebraic formula, such as x+5, y-4 and so on, and the main reason is that the equation can be simplified after the change.

3) Alternative dollar swaps.

Example 3, x:y=1:4

5x+6y=29

Let x=t, y=4t

Equation 2 can be written as: 5t+6*4t=29

29t=29

t=1, so x=1, y=4

Example? Example?

Laughed at me......

Solution 1: Use linear algebra (this method is very simple, but there are too many theorems, so you can study it yourself).

Solution 2: The method is commonly used by junior high school students to high school students and even college students (and above).

The first step is to open the question and pick up the pen.

The second step is to look at the question.

The third step is analysis.

Step 4, okay. Here comes the point ......After analysis, we can see whether this needs to be added and subtracted or brought into the elimination method ......

After the elimination of the element, it is done, and it becomes a one-dimensional equation

Fifth, don't forget to calculate

For details, please consult the Junior High School Mathematics Section of the People's Education Edition. book, forgot about ......

The solution of a binary linear equation is ......Very complex processes, binary systems of linear equations can be solved.

When doing the question, it is best to reduce all kinds of things to the simplest first).

x+2y=6 ……

3x+5y=1………

1.Addition, subtraction, and subtraction.

3x+6y – 3x+5y)=18-1

Y = 17 is obtained

Bringing in (in duplicate is also OK) gives x= -28

2. Substitution of the elimination method.

From x=6-2y

Substituting x yields 3 * (6-2y) + 5y = 1 to get y=17

Substitution (preferably ) gets.

x=-28 Finally, if you want to calculate, substitute x or y, and substitute it together, and the solution is good.

Substitution method... See upstairs ......

As for the binary equations, it is still necessary to understand the first method.

Linear correlation or irrelevance.

To solve the general solution or special junction of the equation, some can be only ......How do I feel messy ......

A binary linear equation has an infinite number of solutions, and it represents a straight line in analytic geometry.

Binary systems of linear equations have unique solutions. Or no solution. Because it represents the intersection of two straight lines or two parallel straight lines.

The way to solve a system of binary equations is the elimination method.

Substituting the elimination method or addition and subtraction elimination method.

The substitution method is:

1. Select an equation with relatively simple coefficients from the system of equations, and express one of the unknowns with a formula containing another unknown.

2. Substitute the equation obtained in (1) into another equation and eliminate an unknown.

3. Solve the obtained one-dimensional one-dimensional equation and obtain the value of an unknown.

4. Substituting the value of one unknown into the equation obtained in (1) to find the value of another unknown, so as to determine the solution of the system of equations.

The method of addition, subtraction and elimination is:

1.Reducing the coefficients of one of the unknowns to the same (or opposite) to each other;

2.Subtract (or add) to eliminate this unknown to obtain a unary equation;

3.Solve this unary equation to get the value of this unknown;

4.Substituting the value of the obtained unknown into any equation in the original system of equations to obtain the value of another unknown.

The detailed steps of the binary linear equation are as follows:

determine the form of the equation; Equations are reduced to standard forms; separating variables; Solve x; Solve y; Solve for x again; Finally, test the solution. However, it should be noted that if the denominator is 0 in the solution process, these values need to be excluded, because there is no solution in the range of real numbers.

Expand your knowledge:

1. What is a binary equation?

An equation that contains two unknowns, and the term that contains the unknowns is 1 in degree, is called a binary equation.

2. Definition of the solution of a binary equation

The values of two unknowns that equal the values on both sides of a binary equation are called the solutions of the binary equations.

3. Test the solution of the binary equation

When testing whether a set of numbers is the solution of a binary linear equation, you can substitute this set of numbers into the equation, and if the set of numbers satisfies the equation (even if the left and right sides of the equation are equal), then the set of numbers is said to be the solution of the binary equation, otherwise, it is not the solution of the first such binary equation.

4. Characteristics of binary linear equations

1) In the equation, "meta" refers to unknowns, and "binary" refers to the equation where there are only two unknowns.

2) The number of terms of unknown numbers is 1, which means that the number of terms (monomials) containing unknowns is 1, for example, the number of 3xy is 2, so the equation 3xy-2=0 is not a binary equation.

3) Both the left and right sides of a binary equation must be an integer, e.g. the left side of equation 1 x-y=1 is not an integer, so she is not a binary equation.

5. The solution of binary equations

There are two methods for solving binary equations: the substitution method and the addition and subtraction elimination method.

1) The substitution elimination method is to represent an unknown number with another unknown, substitute an unknown number from another equation, solve a one-dimensional equation, and finally substitute back to the original equation to obtain the value of another unknown, so as to determine the solution of the system of equations.

2) The law of addition and subtraction is to add or subtract two equations so that the coefficient of one of the unknowns is opposite or equal, so as to eliminate this unknown, and then solve the unary equation, and finally substitute back to the original equation to obtain the value of another unknown, so as to determine the solution of the system of equations.

Let's say x+2y=3

x-2y=1

You can add the upper and lower styles, left and right.

x+2y+(x-2y)=3+(1).

Then God back. The strange thing is that the answer y was eliminated.

2x=4 x=2 and bring x=2 back into x+2y=3, which is 2+2y=3 y.

Binary linear equations can be solved by substitution, to be more precise, there is no fixed solution to binary linear equations, and the solution is a group of groups.

Use the discriminative method or the factorization method.

All three methods are written. If you really can't, you can remember the formula method, and remember the root formula, as long as it is a one-dimensional quadratic equation, you can use the formula method to find it.

After simplification, we get -x +32x 60, i.e. x -32x+60 0, according to the cross multiplication, (x-2) (x-30) 0, and solve x 2 or x 30

There is a 1 in the math bookFirst mark (1) (2) (3) (4) Binary Equation Practice The most important thing is to eliminate the elements, and first eliminate them. 2.Try to make them one again. 3.Finally, he said, "So the original recipe is stupid."

For example, x-y=3 3x-8y=4 is substituted from x=y+3 to 3(y+3)-8y=4 y=1 and x=4 is the solution of this binary system of equations.

Here's a ** for you.

If there is a binary equation for the rock, you can draw a straight line diagram of the equation and find its answer in four quadrants (there will be an infinite number of them).

If it is a system of binary equations, you can eliminate the lead reputation!

Let two unknowns x y and then set an equation according to the problem and solve it with the problem.

According to the conditions or topics given.

a=2/3 b=10/3

Solution: 9a 3b 4 0

4a－2b+4=0 ②

It can be seen that the coefficient of b is -3, and the coefficient of -2 is eliminated in order to make two unknowns become one, by adding and subtracting one of the two equations.

The coefficient of b in is different and cannot be eliminated directly.

To make the coefficients of b the same, to be their least common multiple -6, you need x2, to get 18a-6b+8=0 x3, to get 12a-6b+12=0 to get 18a-6b+8-(12a-6b+12)=6a-4=0 a=2 3

Substituting , we get b=10 3

You first determine which element a or b you want to eliminate, and now take the elimination of b as an example, first find the least common factor of b, which is 6, i.e.

18a-6b+8=0 12a-6b+12=0 Then subtract the two formulas to get 6a-4=0 a=2 3, and just substitute a formula to get b=10 3

Hope it helps.

Just miscalculated, b=10 3

There is a 1 in the math bookFirst mark (1) (2) (3) (4) binary equation practice The most important thing is to eliminate the element, first hold them and make them skin and eliminate the element. 2.

Try to make them one again. 3.Finally, in saying "So the solution of the original equation is."

For example, x-y=3 3x-8y=4 is substituted by x=y+3 to get 3(y+3)-8y=4 y=1 so x=4 then: the solution of this binary system of equations.

Here's a ** for you.