document.write( "Question 222215: 1/2x+ (-1/2)y=1/2
\n" ); document.write( "(-1/3)x+(-3/4)y=2\r
\n" ); document.write( "\n" ); document.write( "I divided everything by 1/2 and you get x-y=1 for the first equation.
\n" ); document.write( "the second equation i times everything by 12 and get (-4)x + (-9)y = 24
\n" ); document.write( "multiply the first equation by -9, so we get -9x +9y = -9.
\n" ); document.write( "(-9)x + (9)y = -9
\n" ); document.write( "(-4)x + (-9)y = 24
\n" ); document.write( "I get (-15/13, -28/13)\r
\n" ); document.write( "\n" ); document.write( "But it is wrong, what did i do wrong? Thanks for the help!
\n" ); document.write( "

Algebra.Com's Answer #166467 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1/2x+ (-1/2)y=1/2
\n" ); document.write( "(-1/3)x+(-3/4)y=2
\n" ); document.write( "-----------------------------
\n" ); document.write( "Multiply thru 1st by 2
\n" ); document.write( "Multiply thru 2nd by -12
\n" ); document.write( "-------------------------------
\n" ); document.write( "x - y = 1
\n" ); document.write( "4x +9y = -24
\n" ); document.write( "---
\n" ); document.write( "Multiply thru 1st by 4
\n" ); document.write( "----------------------------
\n" ); document.write( "4x - 4y = 4
\n" ); document.write( "4x + 9y = -24
\n" ); document.write( "----------------
\n" ); document.write( "Subtract 1st from 2nd and solve for \"y\":
\n" ); document.write( "13y = -28
\n" ); document.write( "y = -28/13
\n" ); document.write( "-----
\n" ); document.write( "Substitute into x - y = 1 to solve for \"x\":
\n" ); document.write( "x +(28/13) = 1
\n" ); document.write( "x = (13/13)-(28/13)
\n" ); document.write( "x = -15/13
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );