SOLUTION: When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?

Algebra ->  Linear-equations -> SOLUTION: When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?       Log On


   

Question 3417: When the integer n is divided by 17, the quotient is x and the remainder is 5. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?
(A) 23x + 17y =19
(B) 17x –23y = 9
(C) 17x +23y =19
(D) 14x + 5y = 6
(E) 5x – 14y = -6
Answer by davidananikian(2) About Me  (Show Source):
You can put this solution on YOUR website!
2x(5x-8)=1
Distribute: 10x^2-16x=1
Subtract 1: 10x^2-16x-1=0
Use quadratic formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%288+%2B-+sqrt%28+8%5E2-4%2A10%2A1+%29%29%2F%282%2A10%29+
x+=+%288+%2B-+sqrt%28+44+%29%29%2F%2820%29+
x+=+%288+%2B-+2%2Asqrt%2811+%29%29%2F%2820%29+
x+=+%284+%2B-+sqrt%28+11%29%29%2F%2810%29+