My question is about guess my rule, in Russian math.

x - y
1=21
2=22
7=27
8= don't know
9= don't know
_ = 33
33- don't know
_ = 65
102=don't know
_ - 130
and then it says
Rule: y=...
and so yeah. the signs that are like this _ mean I don't know basically.

just looking at theb first three entries, I'd say that y = x+20

In this "Guess My Rule" problem, you are provided with a set of input-output pairs and you need to determine the rule that relates the input (x) to the output (y). Let's work through the given examples to figure out the rule.

Looking at the given pairs:
x - y
1 = 21
2 = 22
7 = 27
8 = unknown
9 = unknown
_ = 33
33 = unknown
_ = 65
102 = unknown
_ - 130

From the examples, we can observe that the rule seems to be adding some value to the input (x) to get the output (y). Let's analyze the given pairs based on this observation:

1 + 20 = 21
2 + 20 = 22
7 + 20 = 27

From these examples, we can deduce that adding 20 to the input (x) gives us the output (y).

Now, let's determine the values for the unknown inputs (x) using the same rule:

8 + 20 = 28
9 + 20 = 29

Therefore, the missing values are:
8 = 28
9 = 29

Next, let's continue with the remaining pairs:

_ + 20 = 33
33 - 20 = 13
_ + 20 = 65
102 - 20 = 82
_ - 20 = 130

From the above calculations, we can conclude that:

_ = 13
_ = 45
_ = 150

So, the values of the unknowns are:
33 = 13
_ = 45
102 = 150

Finally, based on the discovered relationship between the input (x) and the output (y), we can state the rule as follows:

Rule: y = x + 20

I hope this helps!