MathDB
System of linear equations

Source: 1959 AHSME Problem 17

August 13, 2013
AMClinear equationsalgebraAMC 12

Problem Statement

If y=a+bxy=a+\frac{b}{x}, where aa and bb are constants, and if y=1y=1 when x=1x=-1, and y=5y=5 when x=5x=-5, then a+ba+b equals: <spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 0<spanclass=latexbold>(C)</span> 1<spanclass=latexbold>(D)</span> 10<spanclass=latexbold>(E)</span> 11 <span class='latex-bold'>(A)</span>\ -1 \qquad<span class='latex-bold'>(B)</span>\ 0\qquad<span class='latex-bold'>(C)</span>\ 1\qquad<span class='latex-bold'>(D)</span>\ 10\qquad<span class='latex-bold'>(E)</span>\ 11