SOLUTION: The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22.
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Question 886101: The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22.
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let x=1st number
let y=2nd number
..
5x+2y=18
3x-7y=-22
..
15x+6y=54 (mult. 1st eq by 3)
15x-35y=-110 (mult. 2nd eq by 5)
subtract:
41y=164
y=4
5x=18-2y=18-8=10
5x=10
x=2
point of intersection:(2,4)
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