1. Prepare a pesticide, in which the mass ratio of quicklime to sulfur powder is 1:3, and the mass ratio of sulfur powder to water is 1:3. How many kilograms does each raw material need to prepare 2262 kilograms of this pesticide? (Equation solving)

Suppose that sulfur needs 3 Jin, quicklime needs 1 Jin and water needs 9 Jin.

a+3a+9a=2262

13a=2262

A =174kg

Quicklime 174kg, sulfur powder 3A = 522kg, water 9A = 1566kg.

2. Given the equation about x, the solution of 3a+x=a/2x+3 is: x=4. Find:

A-2a+3a-4a+5a-6a9+...+99a- 100a。

3a+4=2a+3

a=- 1

Algebraic formula =-a× 50 =-50a =-50x (-1) = 50.

3. Xiao Qiang and He Xiaoling proposed to discuss the solution of equation 2x+3=3x+2.

Xiao Qiang said, "If you transfer the term, you will get 2x+3=3x+2."

2x-3x=2-3

-x=- 1

x= 1 "

Xiaoling wanted to think, but she wrote the following formula:

2x+3=3x+2

2 times 2 = 3 times 3

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

x=3

Xiaoling, this is wrong.

Both sides of the equation cannot be divided by x- 1 at the same time, because x- 1 may be 0.

In the nature of an equation, both sides of the equation are divided by a non-zero number or algebraic expression.