document.write( "Question 194209: Solve the following simultaneous equations:
\n" );
document.write( " xy = x + 6
\n" );
document.write( " x – 2y = 2
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #145767 by anantha(86)![]() ![]() ![]() You can put this solution on YOUR website! sol:xy=x+6 this is 1st equation \n" ); document.write( "x-2y=2 this is 2nd equation \n" ); document.write( "take 2nd equation \n" ); document.write( "x-2y=2 \n" ); document.write( "adding 2y on both sides \n" ); document.write( "x-2y+2y=2+2y \n" ); document.write( "x=2+2y \n" ); document.write( "substitute x value in 1st equation \n" ); document.write( "xy=x+6 \n" ); document.write( "(2+2y)*y=2+2y+6 \n" ); document.write( "2*y+2*2y=8+2y \n" ); document.write( "2y+4y=8+2y \n" ); document.write( "6y=8+2y \n" ); document.write( "subtracting 2y on both sides \n" ); document.write( "6y-2y=8+2y-2y \n" ); document.write( "4y=8 \n" ); document.write( "dividing 4 on both sides \n" ); document.write( "4y/4=8/4 \n" ); document.write( "y=2 \n" ); document.write( "substitute this value in 2nd equation we get x value \n" ); document.write( "x-2y=2 \n" ); document.write( "x-2*2=2 \n" ); document.write( "x-4=2 \n" ); document.write( "adding 4 on both sides \n" ); document.write( "x-4+4=2+4 \n" ); document.write( "x=6 \n" ); document.write( "check these values satisfie the equation or not \n" ); document.write( "take 2nd equation \n" ); document.write( "x-2y=2 \n" ); document.write( "6-2*2=2 \n" ); document.write( "6-4=2 \n" ); document.write( "2=2 \n" ); document.write( "take 1st equation xy=x+6 \n" ); document.write( "6*2=6+6 \n" ); document.write( "12=12 \n" ); document.write( "these values satisfy both equations \n" ); document.write( " \n" ); document.write( " |