document.write( "Question 749711: Solve By Substitution:
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document.write( "-3x+4y=-18
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document.write( "x=-2y-4 \n" );
document.write( "
Algebra.Com's Answer #456217 by lenny460(1073) You can put this solution on YOUR website! Solve By Substitution: \n" ); document.write( "-3x + 4y = -18 \n" ); document.write( "x = -2y - 4\r \n" ); document.write( "\n" ); document.write( "Substitute x = -2y - 4 into the first equation.\r \n" ); document.write( "\n" ); document.write( "-3x + 4y = -18\r \n" ); document.write( "\n" ); document.write( "-3(-2y - 4) + 4y = -18\r \n" ); document.write( "\n" ); document.write( "-3 * -2y = 6y\r \n" ); document.write( "\n" ); document.write( "-3 * -4 = 12\r \n" ); document.write( "\n" ); document.write( "We now have:\r \n" ); document.write( "\n" ); document.write( "6y + 12 + 4y = -18\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "6y + 4y = 10y\r \n" ); document.write( "\n" ); document.write( "10y + 12 = -18\r \n" ); document.write( "\n" ); document.write( "Subtract 12 from each side of the equation.\r \n" ); document.write( "\n" ); document.write( "10y + 12 - 12 = -18 - 12\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "12 - 12 = 0\r \n" ); document.write( "\n" ); document.write( "-18 - 12 = -30\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "10y = -30\r \n" ); document.write( "\n" ); document.write( "Divide each side by 10\r \n" ); document.write( "\n" ); document.write( "10y/10 = -30/10\r \n" ); document.write( "\n" ); document.write( "y = -3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now substitute y = -3 into the second equation.\r \n" ); document.write( "\n" ); document.write( "x = -2y - 4\r \n" ); document.write( "\n" ); document.write( "x = -2(-3) - 4\r \n" ); document.write( "\n" ); document.write( "-2(-3) = 6\r \n" ); document.write( "\n" ); document.write( "x = 6 - 4\r \n" ); document.write( "\n" ); document.write( "6 - 4 = 2\r \n" ); document.write( "\n" ); document.write( "x = 2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "x = 2 and\r \n" ); document.write( "\n" ); document.write( "y = -3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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( "Email: obuong3@aol.com \n" ); document.write( " |