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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 :

calculista

let

e=the price of an entertainment system at Extreme Electronics

u=the price of an entertainment system at Ultra Electronics


We know that

e=2*u-220-------> equation 1

e-u=175---------> equation 2


substitute equation 1 in equation 2

{2*u-220}-u=175--------> u=175+220-------->u=$395

e=2*395-220------->e=$570


therefore


the answer is

the system of linear equations is

e=2*u-220-------> equation 1

e-u=175---------> equation 2

e=$570

u=$395

temdan2001

The system of linear equations that can be used to determine the price of the system at each store will be

e = 2u - 220  and  e - u = 175

LINEAR EQUATION

The general formula of a linear equation is

Y = mx + c

Where

  • Y is the dependent variable
  • m is the gradient of the line of equation
  • x is the independent variable
  • c is the intercept

Given that 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. That is,

e = 2u - 220 ...... (1)

The difference in price between the system at Extreme Electronics and Ultra Electronics is $175. That is,

e - u = 175 ..... (2)

Solve equation 1 and 2 simultaneously by substituting e in equation 1 into equation 2

2u - 220 - u = 175

u - 220 = 175

u = 175 + 220

u = 395

Substitute u into equation 1 or 2 to get e

e = 2(395) - 220

e = 790 - 220

e = 570

The system of linear equations that can be used to determine the price of the system at each store will be

e = 2u - 220  and  e - u = 175

Learn more about Linear Equation here: https://brainly.com/question/118814

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