Use a system of linear equations with two variables and two equations to solve.
A number is 11 more than another number. Twice the sum of the two numbers is 10. Find the two numbers. (Enter your answers as a comma-separated list.)
Answer
Final Answer: The two numbers are \(\boxed{-3}\) and \(\boxed{8}\).
Step 1 ：Translate the problem into a system of linear equations. Let's denote the two numbers as x and y. The first sentence can be translated into the equation \(y = x + 11\). The second sentence can be translated into the equation \(2*(x + y) = 10\).
Step 2 ：Solve this system of equations to find the values of x and y.
Step 3 ：The solution to the system of equations is \(x = -3\) and \(y = 8\). This means that the two numbers are -3 and 8.
Step 4 ：Final Answer: The two numbers are \(\boxed{-3}\) and \(\boxed{8}\).
