Math Topics Rush 5, Math Problems Hurry

1.Solution: x+y 0

x+2y＝3+2a②

Get: y 3+2a

Substituting it gets: x -3-2a

Substituting 4x+3y 1+a gets:

3+2a＝1+a

So a -2

2.Solution: Substituting two pairs of solutions into the equation yields: 3a+4b 22 a+5b 22

3- De: 15b-4b 66-22

i.e. 11b 44

b 4 will substitute for

a＝22-5b＝2

So the original equation is: 2x+4y 22, i.e. x+2y 11 because 5+3 2 11

So x 5, y 3 is the solution of the original equation.

Add the two equations together to give 5x+5y=4+3a

5（x+y）=4+3a

x+y=04+3a=0

a=-4/3

3a+4b=22，a+5b=22

a=2，b=4

Substitute a=2, b=4 into the equation.

2x+4y=22

Substitute x=5, y=3 into the equation.

x=5, y=3 are the solutions of the equations.

1. First of all, from the system of equations 4x+3y=1+a, x=(-7-4a) 5x+2y=3+2a, y=(11+7a) 5, then x+y=0 can be expressed as: (-7-4a) 5 + 11+7a) 5 = 0 i.e., (4+3a) 5=0 solves a= -4 3

2. First, substituting x=3, y=4 into the equation to obtain 3a+4b=22;Substituting x=1,y=5 into the equation gives a+5b=22

Two equations form a group of equations: 3a+4b=22, which can be solved a=2a+5b=22 b=4

Then the original equation ax+by=22 is 2x+4y=22, and x=5 is substituted into the verification, that is: 2 * 5 + 4 * 3 = 22, y=3

So x=5 is the solution of this equation.

y=3We hope you are satisfied!

1.x+y=0, x=-y, substituting the system of equations to get x=1+a, -x=3+2a, -1+a)=3+2a, a=-4 3

2.Substituting the two sets of solutions into the equation gives 3a+4b=22, a+5b=22, so a=2, b=4, and the equation is 2x+4y=22

So x=5, y=3 are the solutions of the equations.

Question 1: x+y=0 pushes y=-x

Substituting 1 and 2 equations respectively.

This yields x=1+2a and -x=3+2a

The sum of the two formulas gives 4+3a=0

Get a=-4 3

Question 2: Substituting both sets of solutions into the equation.

3a+4b=22

a+5b+22

Get a=2 b=4

That is, 2x+4y=22

Substituting x=5 y=3 is true, so it is the solution of the equation.

x+y=0, so x=-y, after substitution, there is y=3+2a, x=1+a, and substituting 2 into equation 2 has 1+a+2(3+2a)=3+2a, and the solution a=-1

2 Talk about the substitution equation of 2 sets of solutions with 3a+4b=22, a+5b=22, and the solution gets a=2, b=4, so the original equation is 2x+4y=22, and after substituting x=5, y=3, there is 10+12=22, and the left and right are balanced, so this solution is the solution of the equation.

Let's go on the tutorial case! Our teacher commented on it).

x Two are returning to the same side as the stuffy Qing Hall when multiplied by the ants.

x=14/17

Solution: Source Pick X

3x-70*(

17x=14

x=14/17

After testing, x=14 17 is the solution of the original equation.

Scrambled x=14 17 is the solution of the original slow cracking field.

Total area Five-sixths of a circle with a radius of 4 meters + one-third of the area of a circle with a radius of 1 25 6 16 + 2 2 3 1 42 3 14 (square meters) Total area One-half of a circle with a radius of 4 meters + one-third of the area of a circle with a radius of 21 2 16+2 3 square meters).

Less, less 11 6 square meters.

（1)s=(360-300)÷360×π×4²+(180－60)÷360×π×4－3)²×2

2) The area that the puppy can reach has changed, s=180 360 4 (180 60) 360 4 73 6

So the area is reduced by 14 73 6 11 6 ...

x 2-2x+1=0,x-1) =0 Deheng Sakura x=11, x 2+1 x 2;

2、x^2/x^4+3x^2+1

The two of the diners are not called eggplant.

x^2/(x^4+3x^2+1)

This question is still done by someone else! I'm sure you'll be able to ask for it. Believe in yourself.

Let's find X first! Burn the defeat of x's game squared -2x+1=0 formula (x-1) squared =0 find x=1 and then substitute x=1 into the required formula to calculate! (Since the formula you wrote is not very standardized, I won't ask for it for you here, so let's substitute it from Pila!) ）

(1000-40) (2+3+3)=120 people, one workshop, 120x2=240 people.

The second workshop is 120x3=360 people.

3. Workshop 360 + 40 = 400 people.

If you don't understand, you can ask me again, it's not easy to answer the question, please forgive me.

Good luck with your studies.

Set the ratio of the number of people in the first and second workshops is 2:3, and the number of people in each workshop is 2x and the number of people in the second workshop is 3x, and the third workshop is 40 more than the second workshop. The number of people in the three workshops is 3x+40, and a factory has 3 workshops with a total of 1000 people, so 2x+3x+3x+40=1000

8x=960

x = 120 and 240,360,400 people in the three workshops.

Solution: Set up the second workshop n people, as the title can know:

Number of people in the first workshop m = 2 3 x n

The number of people in the third workshop y=n+40

A total of 1000 people in the 123 workshop = 2 3 n + n + n + 40 can be found n = 360

Then the respective numbers are obtained: 240 people in the first workshop, 360 people in the second workshop, and 500 people in the third workshop.

Suppose workshop one x, workshop two y, workshop three z people, then.

x+y+z=1000

x/y = 2/3

z-y =40

From condition 2 to x=2y 3, from condition 3 to get z y+40, substitute condition 1, that is: (2y 3)+y+(y+40) = 1000

y=360

x=240z=400

There are x people in a workshop.

x+2x+(2x+40)=1000

x = 192 people, 2x = 384 people, 2x + 40 = 424 people.

1.Classroom + basketball court = 2 5 + 1 3 = 11 15

2.Reading Room = 1-11 15 = 4 15

Solution: Cleaning classrooms and basketball courts: 2 5 + 1 3 = 11 15

Cleaning the reading room: 1-11 15=4 15

The classmates who clean the classroom and basketball court are 2 5+1 3=11 15

The students who clean the reading room are 1-11 15=4 15

Students cleaning classrooms and basketball courts = 2 5 + 1 3 = 6 15 + 5 15 = 11 15

Cleaning the reading room = 1 - (11 15) = 4 15

The first question, 2/5 + 1/3, the sum of the general score is 11/15, so it accounts for 11 15 of the class, and the second question, 1-11 15 = 4 154/15 of the class

1.Classroom + basketball court = 2 5 + 1 3 = 11 15

2.Reading Room = 1-11 15 = 4 15

(1) 3200x1/16 = 200 (yuan).

3200-200=3000 (yuan).

A: In the second half of 2006, the housing price of the community was 3,000 yuan per square meter.

2) 3000x100 = 300000 (yuan) 300000 x 1 percent 5 = 4500 (yuan) 300000 + 4500 = 304500 (yuan) Answer: 304500 yuan.

Hope it helps! Thank you.

1. 3200*1/16=200 3200-200=3000

2.The tax amount to be paid is 3000*100*

The purchase price is 3000*100=30000

The total amount payable is 30,000 + 4,500 = 304,500

(1) 3200 * (1-1 16) = 3000 (yuan per square meter).

2) Tax payment: 3000 * 100 * yuan) total need: 3000 * 100 + 4500 = 304500 (yuan).