Question

СРОЧНО!!!!! АЛГЕБРА 7 КЛАСС!Решение уравнений путем объединения одинаковых членов Практика 2 1) -8r-7r=15 2)10=3x+3+4x 3)97=5m+6(1-3m) 4)6m-7(5m+4)=-202 5)-5(1-8r)+7(1-r)=-31 6)-7x+6+5x=14 7) -4(-3+3p)+7=91 8 ) 4(6-6)p+5=93

Answer 1

-8r - 7r = 15

-15r = 15

r = -1

10 = 3x + 3 + 4x

10 = 7x + 3

7x = 7

x = 1

97 = 5m + 6(1 - 3m)

97 = 5m + 6 - 18m

13m = -89

m = -89/13

6m - 7(5m + 4) = -202

6m - 35m - 28 = -202

-29m = -174

m = 6

-5(1 - 8r) + 7(1 - r) = -31

-5 + 40r + 7 - 7r = -31

33r = -33

r = -1

-7x + 6 + 5x = 14

-2x = 8

x = -4

-4(-3 + 3p) + 7 = 91

12 - 12p + 7 = 91

-12p = 72

p = -6

4(6 - 6p) + 5 = 93

24 - 24p + 5 = 93

-24p = 64

p = -8/3

Answer 2

Давайте решим каждое уравнение по порядку:

1. -8r - 7r = 15 -15r = 15 r = 15 / (-15) r = -1

2. 10 = 3x + 3 + 4x 10 = 7x + 3 7x = 10 - 3 7x = 7 x = 7 / 7 x = 1

3. 97 = 5m + 6(1 - 3m) 97 = 5m + 6 - 18m 97 = -13m + 6 -13m = 97 - 6 -13m = 91 m = 91 / (-13) m = -7

4. 6m - 7(5m + 4) = -202 6m - 35m - 28 = -202 -29m - 28 = -202 -29m = -202 + 28 -29m = -174 m = -174 / (-29) m = 6

5. -5(1 - 8r) + 7(1 - r) = -31 -5 + 40r + 7 - 7r = -31 33r + 2 = -31 33r = -31 - 2 33r = -33 r = -33 / 33 r = -1

6. -7x + 6 + 5x = 14 -7x + 5x + 6 = 14 -2x + 6 = 14 -2x = 14 - 6 -2x = 8 x = 8 / (-2) x = -4

7. -4(-3 + 3p) + 7 = 91 12 - 12p + 7 = 91 -12p + 19 = 91 -12p = 91 - 19 -12p = 72 p = 72 / (-12) p = -6

8. 4(6 - 6)p + 5 = 93 24p + 5 = 93 24p = 93 - 5 24p = 88 p = 88 / 24 p = 11/3 or approximately p = 3.67

Таким образом, решения каждого уравнения:

1. r = -1
2. x = 1
3. m = -7
4. m = 6
5. r = -1
6. x = -4
7. p = -6
8. p = 11/3 или p ≈ 3.67