Question

If 3/s =7 and 4/t=12, what is the value of s-t

Answer 1

After solving the equations 3/s = 7 and 4/t = 12, we find the values of s to be 3/7 and t to be 1/3. To find s - t, we calculate (3/7) - (1/3) using a common denominator, resulting in the final answer of 2/21.

Step-by-step explanation:

To find the value of s - t, we first need to solve the given equations 3/s = 7 and 4/t = 12 for s and t.

Starting with 3/s = 7, we can solve for s by multiplying both sides of the equation by s and then dividing both sides by 7:

• 3 = 7s
• s = 3/7

Next, for 4/t = 12, we solve for t in a similar way:

• 4 = 12t
• t = 4/12
• t = 1/3

Now that we have the values for s and t, we can calculate s - t:

• s - t = (3/7) - (1/3)
• To subtract these fractions, we need a common denominator, which is 21.
• s - t = (9/21) - (7/21)
• s - t = 2/21