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Sagot :
Joe:
2 new compact discs
3 used compact discs
total cost : $54
x = price of a new compact disc
y= price of a used compact disc
2x+3y= 54 (a)
Susan :
3 new compact discs
1 used compact disc
total cost : $53
3x+y= 53 (b)
We have the system of equations:
2x+3y= 54 (a)
3x+y= 53 (b)
Multiply (b) by 3 and subtract (a) to (b)
9x+3y= 159
-
2x+3y= 54
__________
7x = 105
Solve for x
x=105/7
x= 15
Replace x on any equation and solve for y:
3x+y= 53 (b)
3(15)+y= 53
45+y= 53
y=53-45
y= 8
Cost of a new compact disc: $15
Cost of a used compact disc = $8
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