Question

The difference of two numbers is 27. The larger number, x, is 5 less than 4 times the smaller number, y. Which system of equations can be used to find the two numbers?

Answer 1

The system of equations based on the given conditions is x - y = 27 and x = 4y - 5, which can be used to solve for the values of x and y.

Step-by-step explanation:

To determine the system of equations based on the problem's conditions, we need to translate the word problem into mathematical statements. The first condition states the difference between the two numbers is 27, which can be written as x - y = 27. The second condition states the larger number, x, is 5 less than 4 times the smaller number, y, which gives us the equation x = 4y - 5. Therefore, the system of equations to find the two numbers is:

• x - y = 27
• x = 4y - 5

Using these equations, we can solve for the values of x and y to determine the two numbers.