document.write( "Question 962420: Solve by the addition method (elimination)
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document.write( "2x - 4y = 24
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document.write( "3x + 5y = 14 \n" );
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Algebra.Com's Answer #588032 by hkwu(60)![]() ![]() You can put this solution on YOUR website! We have\r \n" ); document.write( "\n" ); document.write( "3x + 5y + (2x -4y) = 24 + 14 (#2 + #1) \n" ); document.write( "5x + y = 38 \n" ); document.write( "y = 38 - 5x\r \n" ); document.write( "\n" ); document.write( "Substitute back into one of the original equations (#1 or #2, it doesn't matter; I will substitute into #2), to get\r \n" ); document.write( "\n" ); document.write( "3x + 5y = 14 \n" ); document.write( "3x + 5(38 - 5x) = 14 \n" ); document.write( "3x + 190 - 25x = 14 \n" ); document.write( "190 - 22x = 14 \n" ); document.write( "22x = 176 \n" ); document.write( "x = 8\r \n" ); document.write( "\n" ); document.write( "Now do one final substitution to get the value of y.\r \n" ); document.write( "\n" ); document.write( "y = 38 - 5x \n" ); document.write( "y = 38 - 5(8) \n" ); document.write( "y = -2\r \n" ); document.write( "\n" ); document.write( "Your solution is x = 8, y = -2. \n" ); document.write( " |