Final answer:
To solve the equation 'Three added to a number is equivalent to that number divided by seven', we can represent it as 3 + x = x/7 and solve for 'x' by multiplying both sides by 7, gathering like terms, and dividing by 6. The solution is x = -3.5.
Step-by-step explanation:
To translate the given sentence into an equation, we can break it down as follows:
Let the number be represented by 'x'.
The sentence 'Three added to a number' can be written as '3 + x'.
The sentence 'is equivalent to that number divided by seven' can be written as '= x/7'.
Therefore, the equation is: 3 + x = x/7.
To solve this equation, we can multiply both sides by 7 to eliminate the fraction:
7(3 + x) = 7(x/7).
After simplifying, we get: 21 + 7x = x.
Now, we can solve for 'x' by gathering like terms:
6x = -21.
Dividing both sides by 6, we find: x = -21/6 or x = -3.5.
Learn more about Translating sentences into equations and solving them