Question

the sum of two numbers is 5 and the difference of those numbers is 3.write a system of equations to represent this situation

Answer 1

x+ y = 5

x - y = 3

(if wanted solved, then x = 4, y = 1)

Explanation:

x - one number

y - other number

the sum is 5, so x + y =5

the difference is 3, so x - y = 3

solving the system of equations by subtracting both equations to eliminate x

x + y = 5

-

x - y = 3

-------------------

2y = 2

so then y = 1, then x = 4