document.write( "Question 485322: Select any two integers between -12 & +12, which will become solutions to a system of two equations. Write two equations that have two integers as solutions. Solve your system of equations, using the addition and subtraction method, showing all 5 steps. I chose 5, and -10 as my integers, so
\n" ); document.write( " x=5, and y=-10. My equations were:
\n" ); document.write( " 2x + y = 0
\n" ); document.write( " -x + 2y =
\n" ); document.write( " -5 + -20 = -25
\n" ); document.write( " 2x + y = 0
\n" ); document.write( " -2x + 4y =
\n" ); document.write( " -10 +-40 = -50
\n" ); document.write( " 5y = -50
\n" ); document.write( " y = -10
\n" ); document.write( " Then to solve for x,
\n" ); document.write( " 2x + y = 0
\n" ); document.write( " 2(5)+ -10 = 0
\n" ); document.write( " 2x =10
\n" ); document.write( " x= 5
\n" ); document.write( "Have I done this right, and included all the necessary steps as required?
\n" ); document.write( "Please help and show me. Thank you \n" ); document.write( "
Algebra.Com's Answer #331966 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "You did it correctly, but I think it could be a little clearer.  And be sure\r\n" );
document.write( "to state your system of equations, and state exactly what you did in each step.\r\n" );
document.write( "Here is how I would write it:\r\n" );
document.write( "\r\n" );
document.write( "I chose 5, and -10 as my integers, so\r\n" );
document.write( "   x=5, and y=-10.  My system of equations is:\r\n" );
document.write( "\r\n" );
document.write( "   2x +  y = ?\r\n" );
document.write( "   -x + 2y = ?\r\n" );
document.write( "\r\n" );
document.write( "I find what the numbers on the right are\r\n" );
document.write( "by substituting\r\n" );
document.write( "\r\n" );
document.write( "   2(5) + (-10) = 10 - 10 = 0\r\n" );
document.write( "   -(5) + 2(-10) = -5 + (-20) = -25\r\n" );
document.write( "\r\n" );
document.write( "So my system of equations is\r\n" );
document.write( "\r\n" );
document.write( "   2x +  y =   0\r\n" );
document.write( "   -x + 2y = -25\r\n" );
document.write( "\r\n" );
document.write( "To solve this system, I multiply\r\n" );
document.write( "the second equation by 2 to\r\n" );
document.write( "eliminate x\r\n" );
document.write( "\r\n" );
document.write( "   2x +  y =   0\r\n" );
document.write( "  -2x + 4y = -50\r\n" );
document.write( " ----------------\r\n" );
document.write( "        5y = -50\r\n" );
document.write( "         y = -10 \r\n" );
document.write( "\r\n" );
document.write( "To find x, I substitute -10 for y\r\n" );
document.write( "in the first equation and get:\r\n" );
document.write( "\r\n" );
document.write( "   2x + (-10) = 0\r\n" );
document.write( "      2x - 10 = 0\r\n" );
document.write( "           2x = 10\r\n" );
document.write( "            x = 5\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );