Question

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?

Answer 1

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

$2u-e=220\\\\and\\\\e-u=175$

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

$e-u=175\\\\e=175+u$

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

$2u-e=220\\\\2u-(175+u)=220\\\\2u-175-u=220\\\\u-175=220\\\\u=220+175\\\\u=\ 395$

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

$e=175+u\\\\e=175+395\\\\e=\ 570$

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