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How Do You Calculate The Equilibrium Price And Quantity Of: Qd = 15 - 1.5p And Qs = P?

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Let eq= equilibrium

at eq, qd=qs

substitute qd= 15 - 1.5p and qs=p in the above derived equation to find the equilibrium price (P.e)

therefore,   15 - 1.5p = p
group like terms

-1.5p - p = -15

-2.5p = -15
make p the subject of the equation by dividing both side by -2.5

therefore,
-2.5p/-2.5 = -15/-2.5

p = 6
the equilibrium price (P.e) is 6
to find your equilibrium quantity you substitute 6 in any of the function. But not that the quantity will also be equal to 6 since the supply function (Qs) is equal to Price(P). This is illustrated below:
Qs= p
where p = 6
therefore,
Qs = 6

also you can use the demand function to confirm your answer. See below

Qd= 15 - 1.5p
where p = 6

therefore,
Qd = 15 - 1.5(6)

Qd= 15 - 9

Qd= 6

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