document.write( "Question 659773: Solve the system using the ADDITION Method\r
\n" );
document.write( "\n" );
document.write( "2x+y+4
\n" );
document.write( "x-3y+9 \n" );
document.write( "
Algebra.Com's Answer #410921 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! Starting with, \n" ); document.write( "2x+ y+4 \n" ); document.write( " x-3y+9\r \n" ); document.write( "\n" ); document.write( "Multiply the second equation by -2 \n" ); document.write( "-2(x-3y+9) \n" ); document.write( "-2x + 6y - 18 \n" ); document.write( "Add this equation to the first equation \n" ); document.write( "2x + -2x + y + 6y + 4 + -18 \n" ); document.write( "Combine like terms \n" ); document.write( "7y - 14 = 0 \n" ); document.write( "7y - 14 + 14 = 0 + 14 \n" ); document.write( "7y = 14 \n" ); document.write( "7y/7 = 14/7 \n" ); document.write( "y = 2\r \n" ); document.write( "\n" ); document.write( "Multiply the first equation by 3 \n" ); document.write( "3(2x+y+4) \n" ); document.write( "6x + 3y + 12 \n" ); document.write( "Add to the second equation \n" ); document.write( "6x + x + 3y + -3y + 12 + 9 \n" ); document.write( "Combine like terms \n" ); document.write( "7x + 21 = 0 \n" ); document.write( "7x + 21 - 21 = 0 -21 \n" ); document.write( "7x = -21 \n" ); document.write( "7x/7 = -21/7 \n" ); document.write( "x = -3 \n" ); document.write( " |