What is the value of x?
1/3x + 1 = 1/6 (2x + 3)
Responses
A 3/4
B 4/3
C - 3/4
D - 4/3
E no solution
To solve for x, we need to simplify the equation by first distributing the 1/6 on the right side:
1/3x + 1 = 1/6 (2x + 3)
1/3x + 1 = 1/6*2x + 1/6*3
1/3x + 1 = 1/3x + 1/2
Now, we have an equation where the x terms are on both sides. Let's move all the x terms to one side:
1/3x - 1/3x = 1/2 - 1
0 = 1/2 - 1
0 = -1/2
This equation gives us 0 = -1/2, which is not true. Therefore, there is no solution for x. The answer is E) no solution.