SOLUTION: The difference of two numbers is -1. If twice the first number is added to three times the second number, the result is 13. What are the numbers?

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Question 981358: The difference of two numbers is -1. If twice the first number is added to three times the second number, the result is 13. What are the numbers?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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x=first number; y=second number
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x-y=-1
x=y-1 Use this to substitute for x below.
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2x+3y=13 Substitute for x.
2(y-1)+3y=13
2y-2+3y=13
5y=15
y=3 ANSWER 1: the second number is 3
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x=y-1=3-1=2 ANSWER 2: The first number is 2
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CHECK:
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x-y=-1
2-3=-1
-1=-1
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2x+3y=13
2(2)+3(3)=13
4+9=13
13=13