document.write( "Question 503937: elination method to solve this linear euation: 3x+7y=1
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document.write( " 2x+9y=5 \n" );
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Algebra.Com's Answer #339452 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 3x +7y = 1 \n" ); document.write( "2x + 9y = 5 \n" ); document.write( ". \n" ); document.write( "2(3x +7y) = 2(1) \n" ); document.write( "6x + 14y = 2 \n" ); document.write( ". \n" ); document.write( "2x +9y = 5 \n" ); document.write( "3(2x +9y) = 3(5) \n" ); document.write( "6x +27y = 15 \n" ); document.write( ". \n" ); document.write( "Now we're ready to use the elimination method for the 'x' term. \n" ); document.write( ". \n" ); document.write( "6x + 14y = 2 \n" ); document.write( "6x +27y = 15 \n" ); document.write( "-------------- \n" ); document.write( "0x -13y = -13 \n" ); document.write( ". \n" ); document.write( "y = 1 \n" ); document.write( ". \n" ); document.write( "Now substitute y=1 into one of the equations to find 'x'. \n" ); document.write( ". \n" ); document.write( "3x +7y = 1 \n" ); document.write( "3x +7(1) = 1 \n" ); document.write( "3x + 7 = 1 \n" ); document.write( "3x = -6 \n" ); document.write( ". \n" ); document.write( "x = -2 \n" ); document.write( ". \n" ); document.write( "Always check your work. \n" ); document.write( "Substitute these values into the other equation to be sure. \n" ); document.write( ". \n" ); document.write( "2x + 9y = 5 \n" ); document.write( "2x =2(-2) = -4 \n" ); document.write( "9y = 9(1) = 9 \n" ); document.write( "-4 + 9 = 5 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: x=-2, y=1 \n" ); document.write( ". \n" ); document.write( "Done.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |