Question

the sum of two numbers is 14. their difference is 2.find their numbers

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Answer 1

Let first number = x

Let second number = y

x+y = 14

x-y = 2

Add the system of equations.

2x = 16

x= 8

Substitute into equation 1.

x+y=14

8+y=14

y=6

Check the solutions by using equation 2.

x-y=2

8-6=2

2=2

This checks out.

Answer 2

Answer:

Step-by-step explanation:

x+y=14

x-y=2                            (adding both)

2x=16

x=8

x+y=14

8+y=14

y=14-8

y=6