document.write( "Question 27457: how do i do substitution on this problem 2x+3y=4, 3x+5y=7 ? \n" ); document.write( "
Algebra.Com's Answer #14943 by prabhjyot(165)![]() ![]() ![]() You can put this solution on YOUR website! 2x+3y = 4 \n" ); document.write( "3x+5y = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using Substitution Method.\r \n" ); document.write( "\n" ); document.write( "Expressing x as a function of y (from the first equation) x = (4 -3y)/2\r \n" ); document.write( "\n" ); document.write( "Substituting this expression into the second equation:\r \n" ); document.write( "\n" ); document.write( " 3(4+3y)/2+5y = 7\r \n" ); document.write( "\n" ); document.write( "Simplifying this expression:\r \n" ); document.write( "\n" ); document.write( " 1y = 2\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( " y = 2\r \n" ); document.write( "\n" ); document.write( " Now, substituting y = 2 back into the x expressed as a function of y:\r \n" ); document.write( "\n" ); document.write( " x = (4-3y)/2 = -1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |