What is the value of x?

Question

1/3x+1=1/6(2x+3)
A. 3/4
B. 4/3
C. -3/4
D. -4/3
E. No solution

Answer 1

To find the value of x, we would first multiply both sides of the equation by 6 to get rid of the fractions:

6(1/3x + 1) = 6(1/6(2x + 3))
2x + 6 = 2x + 3

Now we see that the 2x terms cancel out, leaving us with:

6 = 3

This is a contradiction, so there is no solution. Therefore, the answer is E. No solution.