MathDB
Intersecting Lines

Source: AMC 12 2006B, Problem 8

February 17, 2006
AMC

Problem Statement

The lines x \equal{} \frac 14y \plus{} a and y \equal{} \frac 14x \plus{} b intersect at the point (1,2) (1,2). What is a \plus{} b? <spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>34<spanclass=latexbold>(C)</span>1<spanclass=latexbold>(D)</span>2<spanclass=latexbold>(E)</span>94 <span class='latex-bold'>(A) </span> 0 \qquad <span class='latex-bold'>(B) </span> \frac 34 \qquad <span class='latex-bold'>(C) </span> 1 \qquad <span class='latex-bold'>(D) </span> 2 \qquad <span class='latex-bold'>(E) </span> \frac 94