document.write( "Question 708873: One store offers 10 soccer balls and 2 soccer ball bags for 155 dollars. Another store offers 12 soccer balls and 3 soccer ball bags for 189 dollars. Write and solve a linear equation to find out how much one soccer ball and one bag costs. \n" ); document.write( "
Algebra.Com's Answer #436291 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! These must be two stores of the same company; otherwise each store would charge different prices for an item. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x price of ball \n" ); document.write( "y price of bag\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10x+2y=155 \n" ); document.write( "AND \n" ); document.write( "12x+3y=189\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide the second equation by 3: \n" ); document.write( "4x+y=63\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now your system is this: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 2 times the second equation from the first equation and find value for x. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finding y: \n" ); document.write( "4x+y=63 \n" ); document.write( "y=63-4x \n" ); document.write( " \n" ); document.write( " |