\"\"

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Elimination Method:

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The demand and supply of system of equations are

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\"\"                                       (Demand equation)

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\"\"                                       (Supply equation)

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Where p is the price in dollars and x represents the number of units.

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The equilibrium point is the price p and number of units x that satisfy the both demand and supply equations.\"\"

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Because p is written in terms of x, the value of p substitute in the supply equation into the demand equation as follows:

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\"\"                                        (Write demand equation)

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\"\"                        (Substitute \"\")

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\"\"                                    (Add 0.4x to each side)

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\"\"                                              (Subtract 380 from each side)

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\"\"                                                    (Divide each side by 0.5)\"\"

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Now, find the p value by substitute \"\" in either equations.

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\"\"                                        (Supply equation)

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\"\"                                (Substitute \"\")

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\"\"                                       (Simplify)\"\"

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To check the solution \"\" substitute in the demand equation.

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\"\"                                        (Write demand equation)

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\"\"                                (Substitute \"\")

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\"\"                                            (Multiply)

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\"\"                                       (Simplify)

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To check the solution \"\" substitute in the demand equation.

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\"\"                                        (Write supply equation)

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\"\"                                (Substitute \"\")

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\"\"                                            (Multiply)

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\"\"                                        (Simplify)

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So the equilibrium point is \"\".\"\"

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The equilibrium point is \"\".