document.write( "Question 449380: I need help with this question please:\r
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document.write( "Solve the system of equations \r
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document.write( "x + y = 5
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document.write( "x - y = -9 \n" );
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Algebra.Com's Answer #309125 by Math_Teacher_37(4)![]() ![]() ![]() You can put this solution on YOUR website! We are trying to solve the following system of equations:\r \n" ); document.write( "\n" ); document.write( "x + y = 5 \n" ); document.write( "x - y = -9\r \n" ); document.write( "\n" ); document.write( "Notice that the \"y\" terms are opposite in sign so we can simply add the equations together, like this:\r \n" ); document.write( "\n" ); document.write( "2x + 0y = -4\r \n" ); document.write( "\n" ); document.write( "2x = -4\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 2: x = -4/2 = -2\r \n" ); document.write( "\n" ); document.write( "Now, x = -2 so substitute into either equation. Since the first equation involves addition and it looks easier, let's go with this one. We have:\r \n" ); document.write( "\n" ); document.write( "x + y = 5\r \n" ); document.write( "\n" ); document.write( "-2 + y = 5\r \n" ); document.write( "\n" ); document.write( "Add 2 to both sides:\r \n" ); document.write( "\n" ); document.write( "-2 + 2 + y = 5 + 2\r \n" ); document.write( "\n" ); document.write( "y = 7\r \n" ); document.write( "\n" ); document.write( "The solution is: (-2, 7)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |