document.write( "Question 42961: I GOT HOMEWORK FROM ALGEBRA BUT I DON'T GET IT AT ALL WE ARE LEARNING ON \"SOLVING SYSTEMS BY GRAPHING AND SUBSTITUTION\" BUT THAT'S THE PART I DON'T GET CAN YALL PLEASE HELP ME?\r
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document.write( "HERE'S ONE OF THE PROBLEMS THEY GAVE ME
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document.write( "3x + 2y=-12 & x + 2y=-2 \n" );
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Algebra.Com's Answer #28012 by jmg(22)![]() ![]() ![]() You can put this solution on YOUR website! The answer will be the same but it depends on whether the directions say to solve by substitution or by graphing\r \n" ); document.write( "\n" ); document.write( "BY SUBSTITUTION: \r \n" ); document.write( "\n" ); document.write( "Solve the 2nd equation for x (just because its the easiest) \n" ); document.write( "x + 2y = -2, so x = -2y - 2 \r \n" ); document.write( "\n" ); document.write( "Plug this back into the first equation in the system\r \n" ); document.write( "\n" ); document.write( "3x + 2y = -2 \n" ); document.write( "3(-2y - 2) + 2y = - 2 \n" ); document.write( "-6y - 6 + 2y = - 2 \n" ); document.write( "-4y - 6 = -2 \n" ); document.write( "- 4y = 4 \n" ); document.write( "y = -1\r \n" ); document.write( "\n" ); document.write( "Now plus this back into where you solved for x. \n" ); document.write( "x = -2y - 2 \n" ); document.write( "x = -2 * -1 - 2 \n" ); document.write( "x = 0\r \n" ); document.write( "\n" ); document.write( "So there is one solution (0, - 1)\r \n" ); document.write( "\n" ); document.write( "If you are working these problems and you get an answer like \n" ); document.write( " x = x or 2= 2, etc. The answer is infinite solutions (all the answers will be the same)\r \n" ); document.write( "\n" ); document.write( "If you get something like 3= 2 or x = y or something weird like that, the answer is no solution. For example, 3 will never equal 2\r \n" ); document.write( "\n" ); document.write( "If you have to solve by graphing, you just graph each line. The point where they meet is the one solution. \r \n" ); document.write( "\n" ); document.write( "If they never meet, it is no solution\r \n" ); document.write( "\n" ); document.write( "If it is the same line, it is infinite solutions \n" ); document.write( " |