document.write( "Question 1036601: I am trying to solve this equation by using the Elimination by Addition Method:
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document.write( "-7x+4y=-1 and 5x-3y=0\r
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document.write( "Subsitution method:\r
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document.write( "2x-3y=5 and y=2x-7\r
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document.write( "Thank you for your help \n" );
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Algebra.Com's Answer #651285 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "-7x + 4y = -1.....(1) \n" ); document.write( " 5x - 3y = 0......(2) \n" ); document.write( "Multiply Eq(1) by 3 \n" ); document.write( "Multiply Eq(2) by 4 \n" ); document.write( "-21x + 12y = -3...(1) \n" ); document.write( " 20x - 12y = 0 ...(2) \n" ); document.write( "Add Eq(1) to Eq(2) \n" ); document.write( "-x ........=-3 \n" ); document.write( " x ........= 3 \n" ); document.write( "Substitute x = 3 into \n" ); document.write( "Eq(1) \n" ); document.write( "-7x + 4y = -1.....(1) \n" ); document.write( "-7(3) + 4y = -1 \n" ); document.write( "-21 + 4y = -1 \n" ); document.write( "4y = -1 + 21 \n" ); document.write( "4y = 20 \n" ); document.write( "y = 5 \n" ); document.write( "{3,5} Elimination Method. \n" ); document.write( "........ \n" ); document.write( "2x - 3y = 5.......(1) \n" ); document.write( "y = 2x - 7 .......(2) \n" ); document.write( "Substitute (2x - 7)for \n" ); document.write( "the y into Eq(1) \n" ); document.write( "2x - 3y = 5.......(1) \n" ); document.write( "2x -3(2x - 7) = 5 \n" ); document.write( "multiply out \n" ); document.write( "2x - 6x + 21 = 5 \n" ); document.write( "you now have an equation in x \n" ); document.write( "Collect like terms \n" ); document.write( "-4x = 5 - 21 \n" ); document.write( "-4x = -16 \n" ); document.write( "x = 4 \n" ); document.write( "Substitute x = 4 into \n" ); document.write( "Eq(2) \n" ); document.write( "y = 2x - 7 .......(2) \n" ); document.write( "y = 2(4) - 7 \n" ); document.write( "y = 8 - 7 \n" ); document.write( "y = 1 \n" ); document.write( "{4,1) Substitution Method \n" ); document.write( "Hope this helps :-)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |