SOLUTION: The sum of two numbers is -6 and their difference is 18. Write a pair of simultaneous equations and solve them to find the two numbers.

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Question 314453: The sum of two numbers is -6 and their difference is 18. Write a pair of simultaneous equations and solve them to find the two numbers.
Found 2 solutions by Fombitz, texttutoring:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=-6
A-B=18
Add the equations together,
2A=12
highlight%28A=6%29
Then use either equation to solve for B.
A%2BB=-6
6%2BB=-6
highlight%28B=-12%29

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: x+y=-6
Equation 2: x-y=18

Rearrange Equation 2 to isolate for x:
x=18+y

Now plug this value into Equation 1:

18+y + y = -6
18+2y=-6
2y=-24
y=-12

Now plug this value of y into Equation 2 to find x:
x=18+y
x=18-12
x=6

The two numbers are 6 and -12.