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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

Question 417919: 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(16946) About Me  (Show Source):
You can put this solution on YOUR website!
bread one loaf $x
peanut jar $y
..
3x+2y=4.29
4x+3y=7.75
3x+2y=5.49.............1
4x+3y=7.75.............2

multiply (1)by 3
Multiply (2) by -2
9x+6y=16.47
-8x-6y=-15.5

Add the two equations

x=0.97
x=$0.97 bread loaf
plug value of x in (1)
3x+2y=5.49
2.91+2y =5.49
2y=5.49 -2.91
2y=2.58
y=$1.29 peanut jar