Equations & Systemsmedium
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The demand and supply functions for a new gadget are given by: {P=2Q+100(Demand)P=3Q+15(Supply)\begin{cases} P = -2Q + 100 \quad \text{(Demand)} \\ P = 3Q + 15 \quad \text{(Supply)} \end{cases} where PP is the price in dollars and QQ is the quantity in thousands. Find the equilibrium price PP.