MathDB
System of Equations

Source:

February 27, 2008
symmetryAMCAMC 10geometrygeometric transformationrotationlinear algebra

Problem Statement

Let a a, b b, and c c be real numbers such that a \minus{} 7b \plus{} 8c \equal{} 4 and 8a \plus{} 4b \minus{} c \equal{} 7. Then a^2 \minus{} b^2 \plus{} c^2 is <spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 7<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ 0 \qquad <span class='latex-bold'>(B)</span>\ 1 \qquad <span class='latex-bold'>(C)</span>\ 4 \qquad <span class='latex-bold'>(D)</span>\ 7 \qquad <span class='latex-bold'>(E)</span>\ 8
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