document.write( "Question 1026311: What is the solution of the system?
\n" );
document.write( "x=-2y
\n" );
document.write( "x+6y=8 \n" );
document.write( "
Algebra.Com's Answer #641550 by EdenWolf(517)![]() ![]() You can put this solution on YOUR website! We can solve this system by using the substitution method.\r \n" ); document.write( "\n" ); document.write( "x=-2y \n" ); document.write( "x+6y=8\r \n" ); document.write( "\n" ); document.write( "We know that x = -2y, so we can plug in -2y into the second equation instead of X. \r \n" ); document.write( "\n" ); document.write( "-2y+6y=8\r \n" ); document.write( "\n" ); document.write( "Now solve for y.\r \n" ); document.write( "\n" ); document.write( "-2y+6y=8 \n" ); document.write( "4y=8 \n" ); document.write( "y=2\r \n" ); document.write( "\n" ); document.write( "Now that we know what y is, we can plug in 2 into X in any of the two equations. We can plug Y into the first equation as 2.\r \n" ); document.write( "\n" ); document.write( "x = -2(2) \n" ); document.write( "x = -4\r \n" ); document.write( "\n" ); document.write( "ANSWER: x = -4, y = 2. (-4,2) \n" ); document.write( " |