Answer:
Both equations have no solution.
Step-by-step explanation:
The first equation is:
[tex]x + 2 = x + 4[/tex]
Group the similar terms to get:
[tex]x - x = 4 - 2[/tex]
[tex]0 = - 2[/tex]
This equation has no solution because
[tex]0 \ne - 2[/tex]
The second equation is
[tex]5(w - 1) - 2 = 5w + 7[/tex]
We expand the parenthesis to obtain:
[tex]5w - 5 - 2 = 5w + 7[/tex]
[tex]5w - 7= 5w + 7[/tex]
Group similar terms:
[tex]5w -5w = 7 + 7[/tex]
[tex]0 = 14[/tex]
This equation does not also have solution because
[tex]0 \ne14[/tex]