Consider the simultaneous equations: cases 2x + y = 6 4x - y = 15 cases The solution is ,

MATHEMATICS · Multi-part · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

Consider the simultaneous equations: {2x+y=64x−y=15\begin{cases} 2x + y = 6 \\ 4x - y = 15 \end{cases} The solution is x=3.5x = 3.5 , y=−1y = -1 . Discuss whether this solution might be reasonable if xx represents: (1) an amount of money (2) the number of cups of flour in a recipe (3) the number of people in a class.

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