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let x represent the larger number and y represent the smaller number.

the sum of the two numbers is 0

x + y = 0

twice the smaller number subtracted from 3 times the larger number is 10.

3x - 2y = 10 | x + y = 0 0r x = -y

3(-y) - 2y = 10

-5y = 10

y = -2 the smaller number and x = 2

checking our answer***

+3%2a2+-+2%28-2%29+=+10