Question

The sum of two numbers is 10 and the difference is 6.

PARTA
Write a system of equations to represent the problem.
PART B
Solve the system of equations using the elimination method.

Answer 1

Explanation:

Answer 2

Explanation:

let the numbers be x and y

The system of equations is:

x+y=10

x-y=6

By elimination method,we can:

1. Add both equations to eliminate y and simplify

OR

2.Subtract both equations to eliminate x and simplify.

Going by the first approach

x+x+y+(-y)=10+6

2x+0=16

x=16/2=8

Plug x=8 into any equation,say equation 2

x-y=6

8-y=6

8-6=y

y=2