# SOLUTION: the sum of two number is 13. two times a second number minus three times the second number is 1. if you let x stand for the first number and y for the second number, what are the t

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 Click here to see ALL problems on Equations Question 76058: the sum of two number is 13. two times a second number minus three times the second number is 1. if you let x stand for the first number and y for the second number, what are the two numbers?Answer by ankor@dixie-net.com(15747)   (Show Source): You can put this solution on YOUR website!The problem seems to have an error, I assume you meant: "two times a second number minus three times the first number is 1." : Write an equation for each statement. : "the sum of two numbers is 13." x + y = 13 or x = (13 - y) or y = (13 - x) : "two times a second number minus three times the first number is 1" 2y - 3x = 1 : what are the two numbers? : Substitute (13-x) for y in the above equation and you have: 2(13-x) - 3x = 1 26 - 2x - 3x = 1 -5x = 1 - 26 x = -25/-5 x = + 5 : y = (13 - 5) = 8 : : Check solution using the statement: "two times a second number minus three times the first number is 1. " 2(8) - 3(15) = 1 : If this is not what you meant, let me know, the problem can be done that way You would have: 2y - 3y = 1 -y = 1 y = -1 : Then: x + (-1) = 13 x = 13 + 1 x = 14