Solve the pair of linear equations: ,

MATHEMATICS · Single correct · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

Solve the pair of linear equations: 17x−23y+13=017x - 23y + 13 = 0, 29x+31y−43=029x + 31y - 43 = 0. What is the solution (x,y)(x, y)? (a) (554597,  293597)\left(\dfrac{554}{597},\;\dfrac{293}{597}\right) (b) (−293597,  554597)\left(-\dfrac{293}{597},\;\dfrac{554}{597}\right) (c) (293597,  554597)\left(\dfrac{293}{597},\;\dfrac{554}{597}\right) (d) (232199,  59199)\left(\dfrac{232}{199},\;\dfrac{59}{199}\right)

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