The supply and demand equations for a certain product are: (1) and (2) respectively, where p represents the price per unit in dollars and q, the number of units sold per period. 3q-200p + 1800 = 0 3q + 100p-1800 = 0 Find the equilibrium price algebraically. Find and interpret the equilibrium price when a tax of 27 cents per unit is imposed on the supplier.

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A: I am attaching image so that you understand each and every step.

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A: topic -linear equations

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.