t/6 - t/14= 1/6
Is there a solution for this problem?
Yes, there is a solution.
Start by getting a common denominator.
okay so I found the common denominator to be 42. So I think now I do 7t/42-3t/42=1/6.. is that right?
That looks good!
To solve the equation t/6 - t/14 = 1/6, we need to find the value of t that satisfies this equation.
First, let's simplify the equation. To do this, we need to find the least common denominator (LCD) for the fractions on both sides of the equation, which is 42.
Multiplying every term in the equation by 42, we get:
(42 * t) / 6 - (42 * t) / 14 = (42 * 1) / 6
Simplifying further:
7t - 3t = 7
Combining like terms:
4t = 7
Now, divide both sides of the equation by 4:
t = 7/4
So, the solution to the equation t/6 - t/14 = 1/6 is t = 7/4 or 1.75.
Therefore, there is a solution to this problem, and the value of t that satisfies the equation is t = 7/4 or 1.75.