Solving unary equations is urgent to help solve unary equations

1.A two-digit number, the number on the municipal party committee is twice the number on the one digit, if the number on the ten digit is reversed with the number on the person, then the number obtained is 36 smaller than the original, find the original number.

Let the single digit be x and the ten digit be 2x

10*2x+x-36=10x+2x

21x-36=12x

9x=36x=4, the original number is 84

2.A worker produces 100 screws or 150 nuts a day, and one screw needs to be matched with two nuts, if there are 42 workers in total, how to distribute the work to make the screws and nuts produced every day just match?

If there are x people who produce screws, there are 42 x people who produce nuts.

100*x*2=150*(42-x)

200x=6300-150x

200x+150x=6300

350x=6300

x = 18 and 42 x = 42 - 18 = 24 for nut production

3.If you use one kind of cloth to make clothes, if you make 4 sets of large clothes, 3 sets of medium clothes, and share 37 meters of cloth, if you make 5 sets of large clothes and 2 sets of medium clothes, you need to use cloth rice, ask how much cloth is needed to make a set of large clothes and a set of medium clothes?

4 sets of large clothing, 3 sets of medium clothing with cloth 37 meters, 5 sets of large clothing, 2 sets of medium clothing, a total of cloth rice, that is, add a set of large size, subtract a set of medium clothing with more cloth rice.

Then the large size is more cloth rice than the medium size.

A large set of clothing needs cloth x rice, and a medium clothing needs cloth rice.

Columnable equation 5x+2*(

5x+2x-1=

7x=x=Cloth is required for a medium-sized garment.

A factory produces a total of 500 tons of two kinds of special steel per month, after the improvement of the operation method, the production of A steel increased by 30 percent, and the production of B steel was 120 percent before the improvement, so the output increased to 630 tons.

Let the production volume of A before improvement be x tons, and the production volume of B before improvement is (500-x) tons.

130%x+120%(500-x)=630

The solution is x=300

500-x=500-300=200

Therefore, the production volume of A before improvement is 300 tons, and the production volume of B before improvement is 200 tons.

1.Solution: If the number in the single digit is x, then the number in the ten digit is 2x, then the original two-digit number is 10*2x+x=21x, and the two-digit number after the reversal is 10x+2x=12x4. According to the title:

10*2x-36=10x+2x

Solution: x=4

That is: 21x=84

Answer: The original number was 84

2.Solution: The number of people who produce screws is (42-x) people, according to the title:

100x:150(42-x)=1:2

Solution: x=18

42-x=24

Answer: The number of people who produce screws every day is 18 people, and the number of people who produce nuts is 24 people.

Solution: Set a large size of clothes with cloth x meters, so a set of medium size with (37-4x) 3 meters, according to the title:

5x+2

All I know is the first question: if the single digit is x, then the ten digit is 2xSo:

2xx10+x)-(10x+2x)=36

20x+x-10x-2x=36

9x=36x=4

Then the tens are: 2x=2x4=8

Answer: The original number was 84

Let the number in the single digit be x and the number in the tenth digit be 2x

2x*10+x=x*10+2x+36

The number x=4 is 84

Set x workers to produce screws and 42-x workers to produce nuts.

100x*2=150(42-x)

The solution is x=18

18 people produce screws and 24 people produce nuts.

Set up a set of cloth x meters for large clothes and a set of cloth for medium clothes y meters.

4x+3y=37

5x+2y=

The solution yields x= y=5

Cloth rice for a large set of clothes 5 meters cloth for a medium size dress.

1.The single digit is x, and the ten digit is 2x

20x+x=10x+2x+36

x = 4, the original number 84

People produce screws per day, 42-x people produce nuts per day.

100x*2=(42-x)*150

x = 1818 people per day to produce screws and 24 people to produce nuts per day.

3.Make a large set of cloth for x meters.

Medium (37-4x) 3 meters.

5x+2(37-4x)/3=

x = Rice for large sets of cloth, 5 meters of cloth for medium-sized clothes.

1.If the single digit is x, then the ten digit is 2x

10*x+2x+36=10*2x+x

x=4, the original number is 84

Take a place first. Modify it now.

1) If the single digit is x, then there is.

2x*10+x-36=x*10+2x So x=4 So the original number is 842) Set x people to produce screws, there is.

100x*2=(42-x)*150 get x=18 18 people produce screws.

3) Set to make large clothes need x meters, then.

37-4x) 3 *2+5x= gives x=11 2=m.

Then a piece of medium-good clothes needs (37-4x) 3=5 meters.

Solution: Set a day to produce up to x sets of such complete sets of products, from the title to 2x 20 + 3x 15 = 90

x/10+x/5=90

3x/10=90

x = 300 sets.

A: Up to 300 sets of such complete sets of products can be produced in one day.

Feel satisfied! If you have any questions, please ask!

Extract the common factor, solve x=- 6 2, please see ** for the detailed process.

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. The unary equation can solve most of the engineering problems, travel problems, distribution problems, profit and loss problems, integral table problems, billing problems, and number problems.

1] Unary equations were first found in ancient Egypt around 1600 BC. Around 820 A.D., the mathematician Kharazimi proposed the idea of a one-dimensional equation of "merging similar terms" and "shifting terms" in the book "Elimination and Reduction". In the 16th century, after the mathematician Veda founded symbolic algebra, he proposed the proposition of shifting terms and co-division of equations.

In 1859, the mathematician Li Shanlan officially translated this type of equation as a one-dimensional equation.

An equation that contains only one unknown, and the high order of the unknown is 1, and both sides of the equal sign are integers, is called a linear equation with one unknown. Its general form is:

Sometimes also written:

An integral equation (eg) that can be simplified by the properties of the equation to become a univariate equation is also a univariate equation. A univariate equation is a linear equation with only one root.

General approach. There are five steps to solve a one-dimensional equation, i.e., denominating, deparentheses, shifting terms, merging similar terms, and coefficients to 1, all of which are performed according to the properties of integers and equations. [1]

Take solving equations as an example:

Go to the denominator and get:

Go to the brackets and get to:

Move items, get: merge similar items, get: (often abbreviated as "merge, get:").

The coefficient is reduced to 1, and the :

In a univariate equation, the denominator step is usually multiplied by the least common multiple of each denominator, and if the denominator is a fraction, it can be multiplied by the reciprocal of the fraction on the denominator for the other parts of the term.

Solution: Set the production of armor parts for x days; 120x÷3=100（18-x）÷2

40x=50（18-x）40x=900-50x40x+50x=90090x=900x=10B production 18-10 = 8 days

2×120x=3×100（18-x）

240x=300（18-x）

240x=5400-300x

540x=5400

x=10Note: The numerator on the right side of the equation should be 18-x in parentheses

Xiao Ming's father's monthly salary in September is: 4,500 yuan.

Let Xiao Ming's father's monthly salary in September be x, and get the following equation:

500*5%+（x-3500-500）*10%=75x=4500

500*5%+（x-3500-500）*10%=75x=4500

Validation: 4500-3500=1000

The tax rate on the taxable income for the whole month shall not exceed 500 yuan 5%.

The part exceeding 500 yuan to 2000 yuan 10% So: 500 * 5% + 500 * 10% = 75 yuan Xiao Ming's father paid personal income tax of 75 yuan in September this year, and Xiao Ming's father's monthly salary income in September was 4,500 yuan.

It should be noted that the tax rate you provide is not the current individual income tax rate in China.

Xiao Ming's father's monthly salary income in September is x yuan, then.

500*5%+（x-3500-500）*10%=7525+

x=4500

Therefore, Xiao Ming's father's monthly salary in September was 4,500 yuan.

Xiao Ming's father's salary income in September is x

x-3500-500)*10%+500*5%=75

Solution x=4500