document.write( "Question 219999: please help.\r
\n" );
document.write( "\n" );
document.write( "The line 2x+5y=10 passes through the points (3c+1,d-5) and (c+4,2d+6). Find the values for c and d \n" );
document.write( "
Algebra.Com's Answer #165311 by chibisan(131) You can put this solution on YOUR website! subt (3c+1,d+5) first to make a new equation \n" ); document.write( "2(3c+1)+5(d+5) = 10 \n" ); document.write( "6c+2+5d+5-10=0 \n" ); document.write( "6c+5d=3 --(Eqn1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subt (c+4,2d+6) to make another equation \n" ); document.write( "2(c+4)+5(2d+6)=10 \n" ); document.write( "2c+8+10d+30=10 \n" ); document.write( "2c+10d+38-10=0 \n" ); document.write( "2c+10d=-28 --(Eqn2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve it simultaneously\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6c+5d=3 --(Eqn1) \n" ); document.write( "2c+10d=-28 --(Eqn2) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(eqn1)x2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12c+10d=6 --(eqn 3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(eqn3) - (eqn2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(12c+10d)-(2c+10d)=6-(-28) \n" ); document.write( "10c=34 \n" ); document.write( "c=3.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subt c=3.4 to eqn 2 \n" ); document.write( "2(3.4)+10d= -28 \n" ); document.write( "10d=-28-6.8 \n" ); document.write( "10d= -34.8 \n" ); document.write( "d= -3.48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c=3.4 , d= -3.48 (ans) \n" ); document.write( " |