Kasey is thinking of 2 munbers. The sum of the two numbers is -18. Their difference is 38. Write a system of equations that can be used to find the numbers.

Answer 1

Let x be the first number and y be the second number.

x + y = -18
x - y = 38

Solving the system of equations:

x + y = -18
x - y = 38

Add the equations:
2x = 20
x = 10

Substitute 10 for x in the first equation:
10 + y = -18
y = -28

The two numbers are 10 and -28.