Question

1) x*5=5*x; 2) x:5=5:x.

Answer 1

В первом случае значение Х-ов должно быть одинаковым ,к примеру, 1*5=5*1
Во втором случае значение Х-ов должно быть либо равно 5, либо (-5);к примеру, 5:5=5:5 и (-5):5=5:(-5)

Answer 2

Let's simplify and analyze the two equations:

1. x * 5 = 5 * x

In this equation, both sides are equivalent, so it is true for all values of x. This is because the commutative property of multiplication states that the order of multiplication does not affect the result. In other words, multiplying x by 5 is the same as multiplying 5 by x. Therefore, this equation holds true for any real number x.

2. x : 5 = 5 : x

The symbol "x : 5" can be interpreted as dividing x by 5, and "5 : x" can be interpreted as dividing 5 by x. This equation is not always true for all values of x. It is only true when x = 5. If x is any other value, the equation will not hold. For example, if x = 10, the left-hand side would be 10 : 5 = 2, but the right-hand side would be 5 : 10 = 0.5, which are not equal.

So, to summarize:

1. x * 5 = 5 * x is true for all values of x.

2. x : 5 = 5 : x is only true when x = 5.