Final answer:
The correct answer to finding 14 - 9 using equations is option a, which consists of the equations 'x + 9 = 14' and 'x = 14 - 9'. Solving the first equation by subtracting 9 leads to 'x = 5', indicating that 'x' is equal to the result of the subtraction, aligning with the second equation.
Step-by-step explanation:
The question "Which pair of equations show how to find 14 - 9?" involves solving a subtraction problem through the use of equations. The correct pair of equations that represent the solution to 14 - 9 is a. x + 9 = 14 and x = 14 - 9. In the first equation, if we solve for 'x' by subtracting 9 from both sides, it will give us 'x = 14 - 9'. This is the same as the second equation, which directly gives us the solution to the problem, 'x = 5'.
Let's check all the options:
- Option a: If we solve the first equation, 'x + 9 = 14', by subtracting 9 from both sides, we'll get 'x = 14 - 9', which is the same as the second equation provided, further confirming that option a is the correct choice.
- Option b: The solution to the equation 'x - 9 = 14' would be 'x = 14 + 9', which is not the correct method for finding the difference between 14 and 9.
- Option c: If we add 9 both sides of the equation 'x + 9 = 14', we will not obtain the correct subtraction operation for 14 - 9.
- Option d: While 'x - 9 = 14' may look like a correct step for subtraction, pairing it with 'x = 14 - 9' makes it incorrect when trying to find 14 - 9.