document.write( "Question 988937: 5x-3y=1 2x+y=8 answer please \n" ); document.write( "
Algebra.Com's Answer #609401 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! 5x - 3y = 1 \n" ); document.write( "2x + y = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5x - 3y = 1 \n" ); document.write( "6x + 3y = 24 {multiplied bottom equation by 3} \n" ); document.write( "------------ \n" ); document.write( "11x = 25 {added the two equations} \n" ); document.write( "x = 25/11 {divided each side by 11}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + y = 8 {bottom original equation} \n" ); document.write( "2(25/11) + y = 8 {substituted 25/11, in for x, into bottom original equation} \n" ); document.write( "50/11 + y = 8 {multiplied} \n" ); document.write( "y = 8 - 50/11 {subtracted 50/11 from each side} \n" ); document.write( "y = 88/11 - 50/11 {got common denominator} \n" ); document.write( "y = 38/11 {subtracted}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 25/11 or 2 3/11 \n" ); document.write( "y = 38/11 or 3 5/11\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(25/11, 38/11) is the point of intersection of the two lines as shown below \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " ![]() \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |