SOLUTION: Three loaves of bread and two jars of peanut butter cost $5.49. FOur loaves of bread and three jars of peanut butter cost $7.75. Find the price of a loaf of bread and a jar of pean

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Question 329027: Three loaves of bread and two jars of peanut butter cost $5.49. FOur loaves of bread and three jars of peanut butter cost $7.75. Find the price of a loaf of bread and a jar of peanut butter.
Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
let loaf of bread be $x
jar of peanut butter be $y
..
3x+2y=5.49.............1
4x+3y=7.75.............2
..
multiply equation 1 by 4 and equation 2 by 3 and subtract to eliminate x
12x+8y=21.96
12x+9y=23.25
..
8y-9y=21.96-23.25
-y=-1.29
y= $1.29 the price for peanut butter jar
..
plug the value of y in equation 1
3x+2*1.29=5.49
3x= 5.49-2.58
3x=2.91
x=0.97 for loaf of bread