Question

the sum of two numbers is 13 and their difference is 3. Write and solve a system of equations to find the value of the two numbers.

Answer 1

C

Explanation:

Let the 2 numbers be x and y with x > y, then

x + y = 13 → (1)

x - y = 3 → (2)

Add (1) and (2) term by term

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into (1)

8 + y = 13 ( subtract 8 from 13 )

y = 5

The 2 numbers are 5 and 8 → C

Answer 2

The first thing you want to do is factor out 13. It can ether be (1, 12), (2, 11), (3, 10), (4, 9), (5, 8), or (6, 7). In this case, it says the difference of the two numbers is 3, so you subtract the two numbers 8 and 5 to get three. Your answer is 8 and 5