the sum of two numbers is 10 and their difference is 6

Answer 1

Hi Immanuel,

Let's use the variable, x , to represent one of the numbers and the variable, y , to represent the other number.

Then you can write two equations and two unknowns and solve them using elimination:

x + y = 10

x - y = 6

Now use elimination to find the value of x first:

x + y = 10

x - y = 6

2x = 16

2x/2 = 16/ 2

x = 8

Since the sum of the numbers is 10, y would be 2.