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Solving a System of Equations

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February 6, 2009
analytic geometrygraphing linesslope

Problem Statement

The solution of the equations \begin{align*} 2x-3y&=7 \\ 4x-6y &=20 \\ \end{align*} is:
<spanclass=′latex−bold′>(A)</span> x=18,y=12<spanclass=′latex−bold′>(B)</span> x=0,y=0<spanclass=′latex−bold′>(C)</span> There is no solution<spanclass=′latex−bold′>(D)</span> There are an unlimited number of solutions<spanclass=′latex−bold′>(E)</span> x=8,y=5 <span class='latex-bold'>(A)</span>\ x=18, y=12 \qquad <span class='latex-bold'>(B)</span>\ x=0, y=0 \qquad <span class='latex-bold'>(C)</span>\ \text{There is no solution} \\ <span class='latex-bold'>(D)</span>\ \text{There are an unlimited number of solutions} \qquad <span class='latex-bold'>(E)</span>\ x=8, y=5
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