SOLUTION: Eight times a number plus five times another number is -13. The sum of the two numbers is 1. What are the numbers?

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Question 924979: Eight times a number plus five times another number is -13. The sum of the two numbers is 1. What are the numbers?
Answer by Sam32399(5) About Me  (Show Source):
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Your Question:
Eight times a number plus five times another number is -13. The sum of the two numbers is 1. What are the numbers?
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The equations:
8x+5y=-13
x+y=1 (the same as x=-y+1, which will be used below in substitution)
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substitute for x:
8(-y+1)+5y=-13
-8y+8+5y=-13
-3y+8=-13
-3y=-21
y=7
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substitute for y:
x+(7)=1
x=-6
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y=7 x=-6 <<<<<<<<<<<<<<<<<<<<<<<< Your answer!
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Good luck with your homework!
Cheers,
Sami