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the price, e, of an entertainment system at extreme electronics is $220 less than twice the price, u, of the same system at ultra electronics. the difference in price between the system at extreme electronics and ultra electronics is $175.
which system of linear equations can be used to determine the price of the system at each store?

Respuesta :

Answer: The price of system at extreme electronics is $570 and the price of system at ultra electronics is $395.

Step-by-step explanation:

Let the price of the system at the ultra electronics be u

Let the price of the system at extreme electronics be e

According to question, we have

[tex]2u-e=220\\\\and\\\\e-u=175[/tex]

Now, using the substitution method, we will solve the above system of equations.

[tex]e-u=175\\\\e=175+u[/tex]

Now, put the value of u in the first equation :

[tex]2u-e=220\\\\2u-(175+u)=220\\\\2u-175-u=220\\\\u-175=220\\\\u=220+175\\\\u=\$395[/tex]

Now, we put the value of u in the equation which is given by:

[tex]e=175+u\\\\e=175+395\\\\e=\$570[/tex]

Hence, the price of system at extreme electronics is $570 and the price of system at ultra electronics is $395.

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