Question

1.Which statement about the equation is true?
x + 2 = x + 4
2. 5(w−1)−2=5w+7

Answer 1

Both equations have no solution.

Explanation:

The first equation is:

`x + 2 = x + 4`

Group the similar terms to get:

`x - x = 4 - 2`

`0 = - 2`

This equation has no solution because

`0 \\e - 2`

The second equation is

`5(w - 1) - 2 = 5w + 7`

We expand the parenthesis to obtain:

`5w - 5 - 2 = 5w + 7`

`5w - 7= 5w + 7`

Group similar terms:

`5w -5w = 7 + 7`

`0 = 14`

This equation does not also have solution because

`0 \\e14`