document.write( "Question 870020: in an examination consisting of 15 questions,8 marks are awarded for a correct answer and 4 marks are deducted for a wrong answer,how many correct answer are needed to score 72 marks in this examination? \n" ); document.write( "
Algebra.Com's Answer #524635 by mananth(16946)![]() ![]() You can put this solution on YOUR website! correct answer-----------x \n" ); document.write( "wrong answer-------------y\r \n" ); document.write( "\n" ); document.write( "x+y=15\r \n" ); document.write( "\n" ); document.write( "8x-4y=72\r \n" ); document.write( "\n" ); document.write( "1.00 x + 1.00 y = 15.00 .............1 \n" ); document.write( "Total value \n" ); document.write( "8.00 x -4.00 y = 72.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 4.00 \n" ); document.write( "Multiply (2) by 1.00 \n" ); document.write( "4.00 x 4.00 y = 60.00 \n" ); document.write( "8.00 x -4.00 y = 72.00 \n" ); document.write( "Add the two equations \n" ); document.write( "12.00 x = 132.00 \n" ); document.write( "/ 12.00 \n" ); document.write( "x = 11.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 15.00 \n" ); document.write( "11.00 + y = 15.00 \n" ); document.write( " y = 15.00 -11.00 \n" ); document.write( " y = 4.00 \n" ); document.write( " y = 4.00 \n" ); document.write( "11 correct answers \n" ); document.write( " |