There is an error when the fraction in the denominator of the equation is moved to the other side. Please correct me.

jinposter · Published on 2023-11-20 17:54

There is an error when the fraction in the denominator of the equation is moved to the other side. Please correct me. [Copy link]

This post was last edited by jinposter on 2023-11-20 17:56

An error occurs when the fraction in the denominator of an equation is moved to the other side, as shown below. An error occurs when the fraction is reversed after back-calculation! Which one should be used?

Which one is correct

maychang · Published on 2023-11-20 18:15

Is there such a transformation?

maychang · Published on 2023-11-20 18:17

[An error occurs when the fraction in the denominator of an equation is moved to the other side]

This is not an equation!

jinposter · Published on 2023-11-20 18:47

The school teaches that the fraction in the denominator should be reversed when it is moved to the other side. For the above conversion, just look at the last fraction equation.

jinposter · Published on 2023-11-20 18:47

Can you help me solve it?

maychang · Published on 2023-11-20 18:53

[The fraction in the denominator taught in school should be reversed when moved to the other side]

Which school? Which textbook? Which teacher?

maychang · Published on 2023-11-20 19:24

【Can you help me solve this?】

This is not an equation, what solution is needed?

What I should have done was to point out the mistake that "school teaches that the fraction in the denominator should be reversed when moved to the other side."

lanhua · Published on 2023-11-20 19:25

Schools also teach this kind of "upside-down" stuff???:

Misleading young people!

"We are taught in school that the fraction in the denominator must be reversed when moved to the other side."

maychang · Published on 2023-11-22 08:15

There is a rule about fractions:

(1) If both the numerator and denominator of a fraction are multiplied by a number that is not equal to zero, the value of the fraction remains unchanged.

There are two rules about equations:

(2) When a number is added to both the left and right sides of an equation, both sides remain equal;

(3) If both the left and right sides of an equation are multiplied by a number not equal to zero, the two sides remain equal.

maychang · Published on 2023-11-22 08:23

Take the third line of your first post as an example. Multiply both the left and right sides of the equation by x, and then multiply both the left and right sides by 1/y. The left side of the equation becomes z*x*1/y, and the right side becomes 2. Both sides are still equal. So the third line is correct.

In the second line, multiply both sides by x, and then multiply both sides by y. The left side is z*x*y, and the right side is 2*y*y. But your left side is 2, so the two sides are not equal, so it is wrong.

maychang · Published on 2023-11-22 08:24

[The fraction in the denominator taught in school should be reversed when moved to the other side]

Without this rule, forget the wrong memories quickly!

maychang · Published on 2023-11-22 08:35

What is an equation? An equation that contains unknown numbers is called an equation. Note: Not all equations are equations. An equation that does not contain unknown numbers is not an equation. An equation must contain unknown numbers to be called an equation.

maychang · Published on 2023-11-22 08:37

The value of the unknown variable that makes the equation valid (both sides of the equation equal) is called the solution of the equation, or the root of the equation.

The process of finding the solution to an equation or determining that an equation has no solution is called solving the equation.

maychang · Published on 2023-11-22 08:41

If you don’t believe the two replies about equations above, you can check it on Baidu to see what Baidu says. Is it “an equation containing unknown variables is called an equation”?

freebsder · Published on 2023-11-25 15:15

If you are unsure, multiply both sides by 1/y

There is an error when the fraction in the denominator of the equation is moved to the other side. Please correct me. [Copy link]

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