Question

Solve the equation: "Five times the difference of a ​number and 3 is 17." a) 5(n - 3) = 17 b) 5 times (n - 3) = 17 c) 5n - 3 = 17 d) 5(n/3) = 17

Answer 1

To solve the equation, we use algebraic representation and solve step by step to find the value of the variable.

Step-by-step explanation:

To solve the equation: 'Five times the difference of a number and 3 is 17,' we need to express this in algebraic form. The correct equation is 5(n - 3) = 17, which is option a). Now, we can solve this equation step by step:

1. Apply the distributive property by multiplying 5 by each term inside the parentheses: 5n - 15 = 17.
2. Add 15 to both sides of the equation to isolate the variable term: 5n = 32.
3. Finally, divide both sides of the equation by 5 to solve for n: n = 6.4.

Therefore, the correct equation and solution is 5(n - 3) = 17, n = 6.4.

Learn more about Solving linear equations