document.write( "Question 976182: Solve the following system of equations using the substitution method
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document.write( "5x-7y= -18
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document.write( "4x+ 3y = 20 \n" );
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Algebra.Com's Answer #598797 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! 5x-7y= -18....(1) \n" ); document.write( "4x+ 3y = 20...(2)\r \n" ); document.write( "\n" ); document.write( "Altering (2) \n" ); document.write( "4x + 3y = 20 \n" ); document.write( "4x = 20 - 3y \n" ); document.write( "x = 5 - 3/4y \n" ); document.write( "........... \n" ); document.write( "Substituting in:- \n" ); document.write( "5x - 7y = -18 \n" ); document.write( "5(5 - 3/4y) - 7y = -18 \n" ); document.write( "25 - 15/4y - 7y = -18 \n" ); document.write( "Convert 7 into 28/4 \n" ); document.write( "25 - 15/4y - 28/4y = - 18 \n" ); document.write( "25 - 43/4y = - 18 \n" ); document.write( "- 43/4y = -18 - 25 \n" ); document.write( "- 43/4y = - 43 \n" ); document.write( "43/4y = 43 (Multiply both sides by -1) \n" ); document.write( "43y = 43 x 4 \n" ); document.write( "43y = 172 \n" ); document.write( " y = 172/43 \n" ); document.write( "y = 4 \n" ); document.write( "Substitute y = 4 into \n" ); document.write( "4x + 3y = 20 \n" ); document.write( "4x + 3(4) = 20 \n" ); document.write( "4x + 12 = 20 \n" ); document.write( "4x = 20 - 12 \n" ); document.write( "4x = 8 \n" ); document.write( "x = 2 \n" ); document.write( "{2,4} \n" ); document.write( "Hope this helps:-)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |