Elimination Method:
\The demand and supply of system of equations are
\ (Demand equation)
(Supply equation)
Where p is the price in dollars and x represents the number of units.
\The equilibrium point is the price p and number of units x that satisfy the both demand and supply equations.
Because p is written in terms of x, the value of p substitute in the supply equation into the demand equation as follows:
\ (Write demand equation)
(Substitute
)
(Add 0.4x to each side)
(Subtract 380 from each side)
(Divide each side by 0.5)
Now, find the p value by substitute in either equations.
(Supply equation)
(Substitute
)
(Simplify)
To check the solution substitute in the demand equation.
(Write demand equation)
(Substitute
)
(Multiply)
(Simplify)
To check the solution substitute in the demand equation.
(Write supply equation)
(Substitute
)
(Multiply)
(Simplify)
So the equilibrium point is .
The equilibrium point is .