If both sides of equation 2 (x-1) = 3 (x-1) are divided by X-1, then 2 = 3. What is the reason for the error I hope I can make it clear soon. Thank you

If both sides of equation 2 (x-1) = 3 (x-1) are divided by X-1, then 2 = 3. What is the reason for the error I hope I can make it clear soon. Thank you


Because x is an unknown number, we don't know whether X-1 is 0 or not. The equation can't divide X-1 on both sides, that is, it can't divide by 0 at the same time. We can only decompose the factor to get x = 1



Divide both sides of the equation 2 (x-1) = 3 (x-1) by X-1, and 2 = 3. The reason for the error is ()
A. The equation itself is wrong. B. The equation has no solution. C. dividing both sides by 0d. 2 (x-1) is less than 3 (x-1)


∵ 2 (x-1) = 3 (x-1) ∵ 2x-2 = 3x-3, ∵ x = 1, when both sides divide by X-1, that is, the same divided by 0, meaningless, ∵ the reason for the error is that both sides of the equation divide by 0



Lie equation: Xiaohong bought 4 batteries, paid 8.5 yuan, recovered 0.1 yuan. How much is each battery?


Setting: X yuan per battery
4x=8.5-0.1
4x=8.4
x=2.1
A: 2.1 yuan per battery