Question

Match the equivalent expressions.

x - 3y + 12
12 - 3y - 2x + x + 2x
3x + 2y - 2x + y + 12
3y + 12
3x + y - 12
4y + 3y + 3x - 6y - 10 - 2
x + 3y + 2x - 3x + 7 + 5
x + 3y + 12
5 + 2y + 7x - 4x + 3y - 17

Answer 1

x + 3y + 12 <--> x + 3y + 2x - 3x + 7 + 5

x − 3y + 12 <--> 12 - 3y - 2x + x + 2x

3x + 2y − 2x + y + 12 <--> 3x + y - 12

3y + 12 <--> 4y + 3y + 3x - 6y - 10 - 2

Answer 2

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

Explanation:

In order to match the equivalent expressions we have to put each expression in its simplest form

So,

`x-3y+12\\\\12 - 3y - 2x + x + 2x\\=12-3y+x\\=x-3y+12\\\\3x + 2y - 2x + y + 12\\=x+3y+12\\\\4y + 3y + 3x - 6y - 10 - 2\\=3x+y-12\\\\x + 3y + 2x - 3x + 7 + 5\\=3y+12\\\\5 + 2y + 7x - 4x + 3y - 17\\=5y+3x-12`

One pair of equivalent expressions is:

x - 3y + 12

12 - 3y - 2x + x + 2x

Second,

x + 3y + 12

3x + 2y - 2x + y + 12

third,

3y + 12

x + 3y + 2x - 3x + 7 + 5

four,

3x + y - 12

4y + 3y + 3x - 6y - 10 - 2

..