document.write( "Question 711679: I was wondering how would you solve a linear system using subsitution? My teacher taught the class this in like 10 min and I'm not sure.. Can you show me to steps to answer -x+2y=-6 and 8x+y=31 thanks! \n" ); document.write( "
Algebra.Com's Answer #437543 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! -x+2y=-6 \n" ); document.write( "8x+ y=31 \n" ); document.write( "------------- \n" ); document.write( "You have a choice: solve the 1st equation for \"x\" \n" ); document.write( "or solve the 2nd equation for \"y\": \n" ); document.write( "----- \n" ); document.write( "Solving for x you get: \n" ); document.write( "x = 2y+6 \n" ); document.write( "---- \n" ); document.write( "Substitute for \"x\" in the 2nd equation and solve for \"y\": \n" ); document.write( "8(2y+6)+y = 31 \n" ); document.write( "16y + 48 + y = 31 \n" ); document.write( "17y = -17 \n" ); document.write( "y = -1 \n" ); document.write( "----------- \n" ); document.write( "Solve for \"x\" using x = 2y+6 \n" ); document.write( "x = 2*-1+6 \n" ); document.write( "x = 4 \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |