The sum of two numbers is 10 and the difference is 6. What are the numbers?1. Create a system of two linear equations to represent this problem.2. What is the solution to the system?

Answer:1. X+Y=10X-Y=62. X=8Y=2Step-by-step explanation: Hello! To solve this problem initially we must propose a system of equations of 2x2, this means 2 variables and 2 equations, the following equations of the problem are inferred1.Number 1 =xNumber 2 =yX+Y=10X-Y=6 To solve the system of equations, a sum is made between them as followsX   +   Y=   10+X    -    Y=   6___________2X=16[tex]X=\frac{16}{2} =8[/tex]X=8 to find x we use the ecuation 1X+Y=10Y=10-xy=10-8Y=2