The equilibrium prices are p = $2.95 and q = $2.95 and supply equation is p = 0.04q - 2.62.
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the linear equation is;
p = ma + b
First supply:
2.73 = 135m + b
3.26 = 147m + b
Solving the above two linear equations:
12m = 0.53
m = 0.04
b = -2.62
Supply equation:
p = 0.04q - 2.62
For demand equation:
2.73 = 141m + b
3.26 = 137m + b
After solving:
4m = -0.53
m = -0.13
b = 21.07
The demand equation:
Demand(q) = -0.13q + 21.07
Equilibrium condition:
0.04q - 2.62 = -0.13q + 21.07
17q = 2369
q = $139.35
p = 0.04(139.35) - 2.62
p = $2.95
Thus, the equilibrium prices are p = $2.95 and q = $2.95 and supply equation is p = 0.04q - 2.62.
Learn more about the linear equation here:
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