Question

22.2: X's Y'S Match each expression in column A with an equivalent expression from column B. Be prepared to explain your reasoning. А 1.1934) Buty 1. 12(x+y) the w 2. 12(x - y) w 2. (9x + 5y)-(3x + 7y) 3. (9x + 5y)-(3x - 7y) 3.6(x - 2y) 4. 9x - 7: + 3x + 5y 4. 9x + 5y + 3x - 7 5. 9x - 7y + 3x - 5y 5.9x + 5y - 3x + 7y 6.9x - 7y - 3x - 5y 6.9x - 3x + 5y - 7y

Answer 1

Given data:

The given list.

1) The first expression can be written as,

`\begin{gathered} 9x+5y+3x+7y=12x+12y \\ =12(x+y) \end{gathered}`

2) The second expression can be written as,

`(9x+5y)-(3x+7y)=9x-3x+5y-7y`

3)The third expression can be written as,

`(9x+5y)-(3x-7y)=9x+5y-3x+7y`

4)The fourth expression can be written as,

`9x-7y+3x+5y=9x+5y+3x-7y`

5)The fifth expression can be written as,

`\begin{gathered} 9x-7y+3x-5y=12x-12y \\ =12(x-y) \end{gathered}`

6)The sixth expression can be written as,

`\begin{gathered} 9x-7y-3x-5y=6x-12y \\ =6(x-2y) \end{gathered}`

Thus, the correct match is 1-1, 2-6, 3-5, 4-4, 5-2, 6-3.