SOLUTION: A sofa and a chair cost $850 as a set. The sofa cost $100 more than twice as much as the chai. Write 2 linear equations and what is the cost of the sofa and the cost of the chair.

Question 134347: A sofa and a chair cost $850 as a set. The sofa cost $100 more than twice as much as the chai. Write 2 linear equations and what is the cost of the sofa and the cost of the chair.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sofa and a chair cost $850 as a set. The sofa cost $100 more than twice as much as the chai. Write 2 linear equations and what is the cost of the sofa and the cost of the chair.
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EQUATIONS:
s + c = 850
s = 2c + 100
----------------
Rearrange:
s = -c + 850
s = 2x+100
----------------
Solve for "c".
-c+850 = 2c+100
3c = 750
c = $250 (cost of a chair)
------------
s = 250 = 850
s = $600 (cost of a sofa)
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Cheers,
Stan H.

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