Question

Set up the equation for the following word problem and solve the equation. Let x be the unknown number. 84 times a number minus 69 is equal to 14 less than the number.

Answer 1

To set up the equation for this word problem, let's assign 'x' as the unknown number and translate the given information into mathematical symbols and expressions: 84x - 69 = x - 14. By solving this equation, we find that x ≈ 0.6639.

Step-by-step explanation:

To set up the equation for this word problem, we need to translate the given information into mathematical symbols and expressions. Let's start by assigning 'x' as the unknown number. The problem states that '84 times a number minus 69 is equal to 14 less than the number'. Mathematically, this can be written as:

84x - 69 = x - 14

Now we can solve this equation to find the value of 'x'.

1. Combine like terms by subtracting 'x' from both sides:
2. 83x - 69 = -14
3. Add 69 to both sides to isolate 'x' on one side:
4. 83x = 55
5. Divide both sides by 83 to solve for 'x':
6. x = 55/83
7. Simplify the fraction if needed:
8. x ≈ 0.6639

Therefore, the solution is approximately x = 0.6639.