document.write( "Question 1024617: System Of Two Linear Equation Question : A bookstore sold 18 books for a total of $176 . If some of the books were sold for $7 and some for $12 how many of each are there? \n" ); document.write( "
Algebra.Com's Answer #640027 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Make $7 books = x \n" ); document.write( "and $12 books = y \n" ); document.write( "x + y = 18.......(1) \n" ); document.write( "7x + 12y = 176...(2) \n" ); document.write( "Multiply (1) by 12 \n" ); document.write( "12x + 12y = 216....(1) \n" ); document.write( "7x + 12y = 176.....(2) \n" ); document.write( "Take Eq(2) from Eq(1) \n" ); document.write( "5x = 40 \n" ); document.write( "x = 8 \n" ); document.write( "Substitute x = 8 into Eq(1) \n" ); document.write( "x + y = 18 \n" ); document.write( "8 + y = 18 \n" ); document.write( "y = 18 - 8 \n" ); document.write( "y = 10 \n" ); document.write( "8 x $7 and 10 x $12 books were sold. \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |