document.write( "Question 730090: solve each system using elimination
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document.write( "x-3y=-7
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document.write( "2x=6y-14 \n" );
document.write( "
Algebra.Com's Answer #446537 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! Solve each system using the elimination method:\r \n" ); document.write( "\n" ); document.write( "x - 3y = -7 (Equation 1)\r \n" ); document.write( "\n" ); document.write( "2x = 6y - 14 (Equation 2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "From Equation 1:\r \n" ); document.write( "\n" ); document.write( "x - 3y = -7\r \n" ); document.write( "\n" ); document.write( "Add 3y to each side of the equation:\r \n" ); document.write( "\n" ); document.write( "x - 3y + 3y = -7 + 3y\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "x = -7 + 3y\r \n" ); document.write( "\n" ); document.write( "Substitute x = -7 + 3y into Equation 2.\r \n" ); document.write( "\n" ); document.write( "Equation 2:\r \n" ); document.write( "\n" ); document.write( "2x = 6y - 14\r \n" ); document.write( "\n" ); document.write( "2(-7 + 3y) = 6y - 14\r \n" ); document.write( "\n" ); document.write( "-14 + 6y = 6y - 14\r \n" ); document.write( "\n" ); document.write( "Add 14 to each side of the equation.\r \n" ); document.write( "\n" ); document.write( "We remain with:\r \n" ); document.write( "\n" ); document.write( "6y = 6y\r \n" ); document.write( "\n" ); document.write( "y = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute y = 0 into Equation 1:\r \n" ); document.write( "\n" ); document.write( "x - 3y = -7\r \n" ); document.write( "\n" ); document.write( "x - 3(0) = -7\r \n" ); document.write( "\n" ); document.write( "x - 0 = -7\r \n" ); document.write( "\n" ); document.write( "Add 0 to each side of the equation:\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "x = -7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -7 and\r \n" ); document.write( "\n" ); document.write( "y = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lennox Obuong \n" ); document.write( "Algebra Tutor \n" ); document.write( "Nairobi, Kenya \n" ); document.write( " |