Question

Which equation is an identity?

5w + 8 – w = 6w – 2(w – 4)


7m – 2 = 8m + 4 – m


8y + 9 = 8y – 3


11 – (2v + 3) = –2v – 8

Answer 1

5w +8-w = 6w -2(w-4)

4w +8 = 6w -2w +8

4w +8 =4w +8

This is an identity

7m-2 = 7m+4

8y+9 = 8y-3

11-2v-3 = -2v-8

8-2v = -2v-8

Answer 2

`5w + 8 - w = 6w - 2(w - 4)` is an identity

Explanation:

Lets simplify equation equation and check

`5w + 8 - w = 6w - 2(w - 4)`

`4w + 8= 6w- 2w+ 8`

Combine like terms

`4w + 8=4w+8` Both sides are equal

`7m - 2 = 8m + 4 - m`

`7m - 2 = 7m + 4` both sides are not equal

`8y + 9 = 8y -3` Both sides are not equal

`11 - (2v + 3) = -2v - 8`

`11 -2v - 3 = -2v - 8`

`-2v +8= -2v - 8` both sides are not equal