document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #235747 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let loaf of bread be $x \n" ); document.write( "jar of peanut butter be $y \n" ); document.write( ".. \n" ); document.write( "3x+2y=5.49.............1 \n" ); document.write( "4x+3y=7.75.............2 \n" ); document.write( ".. \n" ); document.write( "multiply equation 1 by 4 and equation 2 by 3 and subtract to eliminate x \n" ); document.write( "12x+8y=21.96 \n" ); document.write( "12x+9y=23.25 \n" ); document.write( ".. \n" ); document.write( "8y-9y=21.96-23.25 \n" ); document.write( "-y=-1.29 \n" ); document.write( "y= $1.29 the price for peanut butter jar \n" ); document.write( ".. \n" ); document.write( "plug the value of y in equation 1 \n" ); document.write( "3x+2*1.29=5.49 \n" ); document.write( "3x= 5.49-2.58 \n" ); document.write( "3x=2.91 \n" ); document.write( "x=0.97 for loaf of bread \n" ); document.write( " |