Answer:
Chair $280
Loveseat $560
Couch $ 1,160
Step-by-step explanation:
chair = x
loveseat=2x
couch = 2x + 600
x +2x + 2x +600 = 2000
5x + 600 =2000 subtract 600 from both sides
5x =1400 divide by 5
x = $280
Chair is the value of x =$280
Loveseat is twice the value of x = 2 x $280 =$560
Couch is twice the value of x plus $600 = $560 + $600
The cost of a chair, the cost of a loveseat, and the cost of a couch are $280, $560, and $1,160 respectively.
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Emily purchased a couch, loveseat, in the chair for $2000.
The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat.
Let
The cost of the chair is x, then the loveseat is 2x and the cost of the couch is 2x + 600.
Then
The sum of the cost of the chair, loveseat, and couch is $2000.
[tex]x + 2x + 2x + 600 = 2000\\[/tex]
On simplifying, we have
x = 280
Then
The cost of the chair = x = $280.
The loveseat = 2x = 2(280) = $560
The cost of the couch = 2x + 600 = 2(280) + 600 = $1,160
Thus, the cost of the chair, loveseat, and couch is $280, $560, and $1,160 respectively.
More about the linear system link is given below.
https://brainly.com/question/20379472
