document.write( "Question 1040810: hello i need help on this question i have to find the solution of 3x+y=9 & 3x-5y=15 but i cant seem to get the solution can you help me thank you (: \n" ); document.write( "
Algebra.Com's Answer #655731 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let's call the equations A and B\r \n" ); document.write( "\n" ); document.write( "A: 3x+y = 9 \n" ); document.write( "B: 3x-5y = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract the equations A - B. To do this, we subtract the like terms on each side \n" ); document.write( "3x - 3x = 0x = 0. The x terms go away \n" ); document.write( "y - (-5y) = y+5y = 6y \n" ); document.write( "9-15 = -6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So after subtracting the equations (A-B) we end up with 6y = -6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now we divide both sides by 6 to fully isolate y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6y = -6 \n" ); document.write( "6y/6 = -6/6 \n" ); document.write( "y = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now use this to find x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x+y=9 \n" ); document.write( "3x+(-1)=9 ... replace y with -1 \n" ); document.write( "3x-1 = 9 \n" ); document.write( "3x-1+1 = 9+1 \n" ); document.write( "3x = 10 \n" ); document.write( "3x/3 = 10/3 \n" ); document.write( "x = 10/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, \n" ); document.write( "x = 10/3 \n" ); document.write( "y = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution as an ordered pair is (10/3, -1) \n" ); document.write( " |