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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

Sagot :

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

7x+56=12x+12

Therefore your answer is B

Hope this helped :)
fieryanswererft

Answer:

B. 12x + 12 = 7x + 56

Explanation:

[tex]Given : \ \sf \dfrac{12}{ x +8} = \dfrac{7}{x + 1}[/tex]

cross multiply formula: if  [tex]\sf \dfrac{a}{b} = \dfrac{c}{d}[/tex]  then [tex]\sf ad = cb[/tex]

[tex]\sf 12(x +1) = 7(x + 8)[/tex]

distribute inside parenthesis

[tex]\sf 12x + 12= 7x + 56[/tex]

collect like terms

[tex]\sf 12x -7x = 56 - 12[/tex]

simplify the following

[tex]\sf 5x = 44[/tex]

dividing both sides by 5

[tex]\sf x = 8.8[/tex]

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