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)\"\" \"About 
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( "
\n" );