SOLUTION: The sum of two numbers is 16. Twice the first number minus the second number is -1. Find both numbers. I need to see the steps

Algebra ->  Expressions-with-variables -> SOLUTION: The sum of two numbers is 16. Twice the first number minus the second number is -1. Find both numbers. I need to see the steps       Log On


   

Question 298388: The sum of two numbers is 16. Twice the first number minus the second number is -1. Find both numbers. I need to see the steps
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-Up:
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Equation 1: A+%2B+B+=+16
Equation 2: 2A+-+B+=+-1
Solution:
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Solve equation 1 for one of the variables
Equation 1: A+%2B+B+=+16
B+=+16+-+A i solved for B, now plug (16-A) into equation 2 for B
Equation 2: 2A+-+B+=+-1
2A+-+%2816+-+A%29+=+-1 Simplify
3A+-+16+=+-1 Add 16 to both sides
3A+=+15 Divide both sides by 3
highlight%28A+=+5%29
Now plug 5 into equation 1 for A
B+=+16+-+A
B+=+16+-+5
highlight%28B+=+11%29