The correct solution to the equation is x = 7/18, indicating a unique solution. Here option C is correct.
To solve the given equation "3/(1/(2x)) + x = 61x - 10 - 11," let's simplify the expression step by step.
Start by simplifying the fraction in the numerator:
3/(1/(2x)) + x = 61x - 10 - 11, which simplifies to 6x.
Now, the equation becomes:
6x + x = 61x - 10 - 11.
Combine like terms:
7x = 61x - 21.
Move all x-related terms to one side and constants to the other side:
7x - 61x = -21.
Solve for x:
-54x = -21.
x is equal to -21 divided by -54, which simplifies to 7 over 18.
So, the solution is x equals 7 over 18. Here option C is correct.
Solve the equation:
3/(1/(2x)) + x = 61x - 10 - 11
a) 0
b) 42
c) There is no solution.
d) There are infinitely many solutions.