Question

Найдите два значения x, при которых значение выражения:1) 5х делится на 7 2) 5618+х делится на 10 3) 543-хделится на 2,но не делится на 54) 634+х при делении на 5 даёт в остатке 3 5) 20х не делится на 66) x-25 делится на 257) 312+x делится на 4 8) 213x делится на 9

Answer 1

1) x-7
2) x- 2, 12
3) x- 5, 7

Answer 2

Finding the Values of x

To find the values of x that satisfy the given expressions, let's go through each expression one by one:

1) 5x is divisible by 7: To find the values of x that make 5x divisible by 7, we need to find a multiple of 7 that can be divided by 5. One such value is x = 7, because 5 * 7 = 35, which is divisible by 7.

2) 5618x is divisible by 10: To find the values of x that make 5618x divisible by 10, we need to find a multiple of 10. Any value of x that ends with 0 will make 5618x divisible by 10. For example, x = 0, 10, 20, 30, and so on.

3) 543 - x is divisible by 2 but not by 5: To find the values of x that make 543 - x divisible by 2 but not by 5, we need to find values of x that make 543 - x an even number but not divisible by 5. One such value is x = 1, because 543 - 1 = 542, which is an even number but not divisible by 5.

4) 634x leaves a remainder of 3 when divided by 5: To find the values of x that make 634x leave a remainder of 3 when divided by 5, we need to find values of x that satisfy the equation 634x ≡ 3 (mod 5). One such value is x = 2, because 634 * 2 = 1268, which leaves a remainder of 3 when divided by 5.

5) 20x is not divisible by 6: To find the values of x that make 20x not divisible by 6, we need to find values of x that make 20x not divisible by both 2 and 3. Any value of x that is not divisible by 2 or 3 will make 20x not divisible by 6. For example, x = 1, 5, 7, 11, and so on.

6) x - 25 is divisible by 25: To find the values of x that make x - 25 divisible by 25, we need to find values of x that are 25 more than a multiple of 25. One such value is x = 50, because 50 - 25 = 25, which is divisible by 25.

7) 312 + x is divisible by 4: To find the values of x that make 312 + x divisible by 4, we need to find values of x that make 312 + x a multiple of 4. One such value is x = 4, because 312 + 4 = 316, which is divisible by 4.

8) 213x is divisible by 9: To find the values of x that make 213x divisible by 9, we need to find values of x that make 213x a multiple of 9. Any value of x that is divisible by 9 will make 213x divisible by 9. For example, x = 9, 18, 27, and so on.

I hope this helps! Let me know if you have any further questions.