Answer:
b = -2
Step-by-step explanation:
Given expression:
9(b - 4) - 7b = 5(3b -2)
Using distributive properties, open the parentheses;
9b - 36 - 7b = 15b - 10
2b - 36 = 15b -10
collect like terms;
2b - 15b = - 10 + 36
-13b = 26
Divide both sides by -13;
b = -2
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
Answer: y=6
Step-by-step explanation: please mark me brainliest :)
Hello :
<span> Y=-x-4 ...(1)
2x-3y=17....(2)
subsct y in (2)
2x-3(-x-4)= 17
2x+3x+12 = 17
5x =5
x = 1
subsct in (1) : y =-1-4 = -5</span>