Question

Both b and c.

c)
d)
34) Translate the following sentence into an equation and solve it:
"Three added to a number is equivalent to that number divided by seven"

Answer 1

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