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Agata [3.3K]
3 years ago
13

the sum of two numbers is -14. If you subtract the smaller number from. the larger number the total is 12. what are the two numb

ers?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0
------------------------------------------------------------
Define the two numbers
------------------------------------------------------------
Let one number be x and the other be y

------------------------------------------------------------
Form equations and solve
------------------------------------------------------------
x + y = -14 --------------- (1)
y - x = 12 ------------------(2)

------------------------------------------------------------
(1) + (2)
------------------------------------------------------------
2y = -2
y = -1

------------------------------------------------------------
Substitute y = -1 into (2)
------------------------------------------------------------
y - x = 12
-1 - x = 12
x = -1 -12
x = -13

------------------------------------------------------------
Answer: x = -13, y = -1
------------------------------------------------------------


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