One of the greatest strengths of behavioral psychology is the ability to clearly observe and measure behaviors. Weaknesses of this approach include failing to address cognitive and biological processes that influence human actions.
Right away we see that expressions (a), (b), and (d) are equivalent, since addition is commutative: $2x + 8 = 8 + 2x$. We now only have to check (c) and (e). If $x=0$, (c) and (e) have the value 4, whereas (a), (b), and (d) have the value 8.So (c) and (e) are not equivalent to (a), (b), and (d).Moreover, if $x=1$, then (c) has the value 6 and (e) has the value 5, so those two expressions are not equivalent either.For (c), we can use the distributive property and decompose one of the numbers to write two equivalent expressions: $$ \begin{align} &2x+4 \\ &2(x+2) \\ &2(x+1+1) \end{align} $$.o (c) and (e) are not equivalent to (a), (b), and (d). Moreover, if $x=1$, then (c) has the value 6 and (e) has the value 5, so those two expressions are not equivalent either. For (c), we can use the distributive property and decompose one of the numbers to write two equivalent expressions:
24 4y 2y 6 24 4y 2y 6 24 6y 6 add 24 with both sides 24 24 6y 6 24 6y 6 24 6y 30 isolate y on one side divide both terms by 6 6y 6 30 6 y 30 6 y 5 third replace 5 with the y variable in the 2nd equationet x+ 2y 6 1 6x 4y 24 2 then multiple equation 1 with 2 so the equation will be like this 2x 4y 12 3 6x 4y 24 2 then 3 2 8x 12 x 1 5 then put x 1 5 into equation 2 6x 4y 24 6 1 5 4y 24 9 4y 24 4y 15 y 3 75 as a conclusion