Question

PLEASE HELP

Which linear equation can be derived from this proportion?

12/( x + 8 ) = 7/( x + 1 )



A.
12x + 8 = 7x + 1
B.
12x + 12 = 7x + 56
C.
12x + 1 = 7x + 8
D.
12x + 96 = 7x + 7

Answer 1

Cross multiply to get
7(x+8)=12(x+1)

7x+56=12x+12

Therefore your answer is B

Hope this helped :)

Answer 2

B. 12x + 12 = 7x + 56

Step-by-step explanation:

`Given : \ \sf (12)/( x +8) = (7)/(x + 1)`

cross multiply formula: if
`\sf (a)/(b) = (c)/(d)` then
`\sf ad = cb`

`\sf 12(x +1) = 7(x + 8)`

distribute inside parenthesis

`\sf 12x + 12= 7x + 56`

collect like terms

`\sf 12x -7x = 56 - 12`

simplify the following

`\sf 5x = 44`

dividing both sides by 5

`\sf x = 8.8`