# SOLUTION: find two integers such that three times the larger minus four times the smaller is 7 and the larger is one less than two times the smaller

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 Question 225069: find two integers such that three times the larger minus four times the smaller is 7 and the larger is one less than two times the smaller Answer by ankor@dixie-net.com(15656)   (Show Source): You can put this solution on YOUR website!Two integers, x & y; (x is larger) : Write an equation for each phrase: : "two integers such that three times the larger minus four times the smaller is 7" 3x - 4y = 7 : "the larger is one less than two times the smaller" x = 2y - 1 : Use the above equation for substitution in the 1st equation; replace x: 3(2y-1) - 4y = 7 6y - 3 - 4y = 7 6y - 4y = 7 + 3 2y = 10 y = 5 : Find x: x = 2y -1 x = 2(5) = 1 x = 9 : : Check solution in the 1st statement "find two integers such that three times the larger minus four times the smaller is 7 " 3(9) - 4(5) = 7 27 - 20 = 7