Question

HELP PLEASE!! Which equations have the same value of x as 5/6X+2/3=-9 Select three options.A: 6(5/6x+2/3)=-9B: 6(5/6x+2/3)=-9(6)C: 5x+4=-54D: 5x+4=-9E: 5x=-13F: 5x=-58

Answer 1

B: 6(5/6x+2/3)=-9(6)

C: 5x+4=-54

F: 5x=-58

Explanation:

We have the following equation

`\begin{gathered} (5)/(6)x+(2)/(3)=-9 \\ 6\cdot((5)/(6)x+(2)/(3))=-9\cdot6 \\ 5x+4=-54 \\ 5x=-58 \end{gathered}`

Now, we analyze each option:

A.

`\begin{gathered} 6\cdot((5)/(6)x+(2)/(3))=-9 \\ \mleft\lbrace5x+4=-9\mright\rbrace\\e\mleft\lbrace((5)/(6)x+(2)/(3))=-9\mright\rbrace \end{gathered}`

B.

`\begin{gathered} 6\cdot((5)/(6)x+(2)/(3))=-9\cdot6 \\ \mleft\lbrace((5)/(6)x+(2)/(3))=-9\}=\mright?((5)/(6)x+(2)/(3))=-9 \end{gathered}`

C.

`\mleft\lbrace5x+4=-54\}\mright?=\mleft\lbrace(5)/(6)x+(2)/(3)=-9\mright\rbrace`

D.

`\lbrace5x+4=-9\}\\e\lbrace(5)/(6)x+(2)/(3)=-9\rbrace`

E.

`\mleft\lbrace5x=-13\}\mright?\\e\lbrace(5)/(6)x+(2)/(3)=-9\rbrace`

F.

`\mleft\lbrace5x=-58\mright\rbrace=\lbrace(5)/(6)x+(2)/(3)=-9\rbrace`

Therefore the correct options are B, C and F