ANSWER:
A. Equivalent
B. Equivalent
C. Not equivalent
D. Not equivalent
E. Not equivalent
F. Not equivalent
STEP-BY-STEP EXPLANATION:
A.
[tex]\begin{gathered} x+y+x+y=2(x+y) \\ 2x+2y=2(x+y) \\ 2(x+y)=2(x+y) \end{gathered}[/tex]
The pair is equivalent
B.
[tex]\begin{gathered} 5x+3x-2y=-2y+8x \\ -2y+8x=-2y+8x \end{gathered}[/tex]
The pair is equivalent
C.
[tex]\begin{gathered} 5(2x-3y)=10x-3y \\ 10x-15y=10x-3y \\ 10x-15y\ne10x-3y \end{gathered}[/tex]
The pair is not equivalent
D.
[tex]\begin{gathered} 4x-5y=5y-4x \\ 4x-5y\ne5y-4x \end{gathered}[/tex]
The pair is not equivalent
E.
[tex]\begin{gathered} 6x-8y=3(2x-4y) \\ 3(2x-\frac{8}{3}y)=3(2x-4y) \\ 3(2x-\frac{8}{3}y)\ne3(2x-4y) \end{gathered}[/tex]
The pair is not equivalent
F.
[tex]\begin{gathered} 9x+2y=11xy \\ 9x+2y\ne11xy \end{gathered}[/tex]
The pair is not equivalent
