document.write( "Question 116555: Solve the system by substitution. 3x – y = –7, x + y = –9 \n" ); document.write( "
Algebra.Com's Answer #84725 by jgr45(31) You can put this solution on YOUR website! Solve the system by substitution. 3x – y = –7, x + y = –9\r \n" ); document.write( "\n" ); document.write( "To solve by substitution you need to isolate one of the variables by itself. Here either one works so I'll pick y.\r \n" ); document.write( "\n" ); document.write( "y = -9 - x\r \n" ); document.write( "\n" ); document.write( "Now, rewrite the first equation and solve it, replacing y with -9-x.\r \n" ); document.write( "\n" ); document.write( "3x - (-9-x) = -7\r \n" ); document.write( "\n" ); document.write( "3x + 9 + x = -7 \n" ); document.write( "4x + 9 = -7 \n" ); document.write( "4x = -16 \n" ); document.write( "x = -4 \n" ); document.write( "Plug -4 in for x: \n" ); document.write( "y = -9 - (-4) \n" ); document.write( "y = -5 \n" ); document.write( "So the point of intersection is (-4,-5). \n" ); document.write( " \n" ); document.write( " |