The difference of two integers is -50, and the sum of the two integers is -12. What is the larger of the two integers?

Answer 1

x-y = -50

x+y = -12

add them to eliminate one variable

2x = -62

x = -62/2 = -31

y = -12-x = -12+31 = 19

the two numbers are 19 and -31

19 >-31

-19 is the larger integer

they sum to 19-31 = -12

their difference is -31-19 =-50