Problem

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.)

Solution

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 \(\boxed{8}\).

From Solvely APP
Source: https://solvelyapp.com/problems/18929/

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