What is the easiest way to do a one dimensional equation?

From an equation in a system of binary linear equations, an unknown number is represented by a formula containing another unknown, and then substituted into another equation to achieve elimination, and then the solution of this system of binary linear equations is obtained. This method is called the substitution elimination method, referred to as the substitution method.

Steps to solve a system of binary linear equations using the substitution elimination method:

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

2) Substituting the resulting equation in (1) into another equation and eliminating an unknown.

3) Solve the obtained one-dimensional equation to 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.

Example: 3x+2y=13

3x-2y=5

According to the first formula, we get:

13-2y=3x

Bring in the second formula.

3(13-2y)-2y=5

13-2y-2y=5

13-(2y+2y)=5

13-4y=5

4y=13-5

y=2x=3

There are several main steps to solve a system of unary equations:

1) Go to the denominator, remove the parentheses.

2) Move items and merge similar items.

3) The coefficients are reduced to one to obtain the solution of the equation.

Problem solving: 1) Let the unknown number be x

2) According to the equation of the equivalence off series.

3) Solve equations.

If you do a lot of questions, you can know the answer with your eyes, and the main thing in science and engineering is to do more questions.

Simple recipes are available in textbooks.

The solution of a unitary equation is as follows:

1. The first step: the column square is equipped with a cover program.

Just like when we first learned how to solve a one-dimensional equation, we first list the equations.

2. The second step: move the item.

Shifting is to put the unknowns on one side of the equation and the constants on the other side, which is convenient for us to solve the equation.

3. The third step: turn the unknown coefficient to 1

In order to solve this equation, 2 needs to be divided by 2 on both sides; Here both sides of the equation are multiplied or divided by a number at the same time, and the equation remains the same.

4. Step 4: Solve the equation.

So we get the results.

5. Step 5: Practice.

After learning how to solve a one-dimensional equation, you should practice more, use it skillfully, and be able to draw inferences from one another. Don't be lazy and practice.

A univariate equation is an equation that contains only one unknown, the highest order of the unknowns is 1, and both sides are integers. Unary linear equations have only one root. Unary equations can solve most of the engineering problems, travel problems, distribution problems, profit and loss problems, integral table problems, billing problems, and number problems.

It can also be applied to physical and chemical calculations. For example, in production and life, the depth of the liquid is calculated by substituting the equation by substituting the equation for a certain density and pressure of a certain liquid. For example, to calculate the atmospheric pressure is approximately equal to how high the water column is, and it is known that the atmospheric pressure is about 100,000 Pascal.

The density of water is approximately equal to 1000 kilograms per cubic meter. g is about equal to 10 meters per square second (10 N per kilogram), then the height of the water column can be set to be h meters, the column equation is 1000*10h=100000, and the solution is h=10, and the atmospheric pressure is about equal to the pressure generated by the water column of 10 meters.

A unary equation contains only one unknown.

And the highest number of unknowns is an equation of 1.

After writing it in the form ax+b=cx+d.

You can simplify it.

x=(d-b) (a-c).

Standard form. The standard form of a univariate equation (i.e., the form in which all unary equations can be collated together) is ax+b=0 (a, b is constant, x is unknown, and a≠0).where a is the coefficient of an unknown, b is a constant, and x is an unknown.

Unknowns are generally set to x, y, z

Equation features. (1) The equation is an integer equation.

2) The equation has one and only one unknown.

3) The highest number of unknowns in this equation is 1

The equation that satisfies the above three points is a one-dimensional equation.

Judgment method. To determine whether an equation is a univariate equation, first look at whether it is an integral equation. If so, sort it out.

If it can be organized in the form ax+b=0(a≠0), then the equation is a univariate equation. There should be an equal sign in it, and there should be no unknown number in the denominator.

Deformation formula. ax=b (a, b is constant, x is unknown, and a≠0). Usual solution.

Remove denominator Remove parentheses Shift terms Merge similar terms The coefficient is reduced to 1

Follow the steps below.

1.Remove the denominator: multiply by the least common multiple of the denominator (omit this step if there is no denominator)2Deparentheses: Multiply open parentheses.

3.Shift: Shifts both the equations of x to one side of the equation and the constant terms to the other, changing the plus and minus signs as each term moves.

4.Merge similar terms: add the formula of x together, and add the constant term together 5The coefficient is reduced to 1: the coefficient divided by x on both sides of the equation.

x+6）/3+x/4=1

Denominator: Multiply 12 on both sides at the same time

4（x+6）+3x=12

Remove parentheses: 4x+24+3x=12

Shift: 4x+3x=12-24

Merge similar items: 7s=-12

The coefficient is 1: at the same time the beginning is 7: x = -12 7

The unary equation is very simple, you should make a unary equation, otherwise how to talk about it.

To solve a unitary equation, the following steps are generally followed.

1.Denominator: Multiply by the least common multiple of the denominator (this step can be omitted if there is no denominator).

2.Deparentheses: Remove the parentheses with the multiplicative assignment rate.

3.Shift: Moves an term on one side of the equation to the other. Items containing unknowns (usually denoted by x) are usually moved to the left of the equal sign, and constant terms are moved to the right of the equal sign.

4.Merge terms of the same kind: The terms containing the same letters and their exponents are combined with the inverse operation of the multiplicative allocation rate, and the constant terms are directly calculated.

5.The coefficient is reduced to 1: the coefficient of both sides of the equation divided by x at the same time.

The general steps to solve a one-dimensional equation are to remove the denominator, remove the parentheses, shift the terms, merge the same terms, and divide the coefficients of the unknown number on both sides of the equation.

The solution of the equation is x=10 11.

（2x－1）／3＝1－（x＋2）／4

Remove the denominator and multiply both sides of the equation by 12

4（2x－1）＝12－3（x＋2）

8x－4＝12－3x－6

11x＝10

x＝10／11

5(x-1)-2(1-x)=3+2x

5x-5-2+2x=3+2x

5x+2x-2x=3+5+2

5x=10x=22(3x+4)-5(x+1)=3

6x+8-5x-5=3

x=3-8+5

x = 1/02 - x-3/3 = 1

3-2(x-3)=6

3-2x+6=6

2x=3+6-6

x=3 x-1 of 22 = 1/3 + x

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

3x-3=2+2x

3x-2x=2+3

x = 5x-1 out of 2 = x + 2 out of 2

6x-3(x-1)=12-2(x+2)

6x-3x+3=12-2x-4

3x-2x=8-3

x = y-3 of 52 = -5 of 6 + 1 of 3 - y3y - 18 = -5 + 2 (1-y).

3y-18=-5+2-2y

3y+2y=18-5+2

5y=15y=3

1. 5(x-1)-2(1-x)=3+2x5x-5-2+2x=3+2x

5x=10x=22. 2(3x+4)-5(x+1)=36x+8-5x-5=3

x=03.1/2-3/3 x-3=1-(x-3) 3=1 2

x-3=-3/2

x=3/24.2/2 x-1 = 1/3 + x

3x-3=2+2x

x=55.x-1 of x-2 = x-2-3 x + 22x-x+1 2 + x+2 3 = 2

6x-3x+3+2x+4=12

5x=5x=16.Y-3 of 2 = -5 of 6 + 1 of 3 - Y3 - 9-2 + 2 Y = -5

5y=6y=6/5