Answer:
Associative and commutative properties of addition
Explanation:
The one thing that the associative property of addition says that
[tex](a+b)+y=a+b+y[/tex]and the commutative property of addition says
[tex]a+b=b+a[/tex](the order of addition does not matter )
Now, the steps we take to solve our equation are the following:
[tex]\begin{gathered} \mleft(3x+4y\mright)+5x=8x+4y \\ 3x+4y+5x=8x+4y\text{ (the associative property of addition )} \end{gathered}[/tex]The second step is
[tex]\begin{gathered} 3x+4y+5x=8x+4y\text{ } \\ 3x+5x+4y=8x+4y\text{ (commutative property of addition.)} \end{gathered}[/tex]which simplifies to
[tex]\begin{gathered} 8x+4y=8x+4y \\ 4y=4y \end{gathered}[/tex]Hence, we used associative and commutative properties of addition to solve our equation.
