37.4k views
24 votes
How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1

User Norkuy
by
4.7k points

1 Answer

11 votes

Answer:

0

Explanation:

3x+13=3(x+6)+1
Expand:

3x+13=3x+18+1
Simplify:

3x+13=3x+19
Subtract 13 from both sides:
3x+13-13=3x+19-13
Simplify:

3x=3x+6

Subtract 3x from both sides:
3x-3x=3x-3x+6

0=6

Since the sides are not equal there are no solutions to this problem

User Romsky
by
5.0k points