SOLUTION: Solve using a system of equations (show the two equations you used then show the solutions): A sofa and chair cost $850 as a set. If the sofa cost $100 more than twice as much as

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Question 182509: Solve using a system of equations (show the two equations you used then show the solutions):
A sofa and chair cost $850 as a set. If the sofa cost $100 more than twice as much as the chair what is the cost of each?
Answer by MathGuyJoe(20) (Show Source):
You can put this solution on YOUR website!
Let x = cost of Sofa
Let y = cost of Chair

The first statement: "A sofa and chair cost $850 as a set" gives us:
Equation 1:

The second statement: "...the sofa cost $100 more than twice as much of the chair" gives us:
Equation 2:

Now, we can substitute into the first equation (in place of x) to solve for the price of the Chair (y):
<- Equation 1
<- substitute in for x
<- group the y's
<- subtract 100 from both sides
<- divide both sides by 3

So the price for the Chair is $250. Looking at equation 1, that means the price of the Sofa must be $600.

Hope this helps! ~ Joe