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
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Algebra.Com's Answer #165311 by chibisan(131)\"\" \"About 
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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
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\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
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\n" ); document.write( "\n" ); document.write( "Solve it simultaneously\r
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\n" ); document.write( "\n" ); document.write( "6c+5d=3 --(Eqn1)
\n" ); document.write( "2c+10d=-28 --(Eqn2) \r
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\n" ); document.write( "\n" ); document.write( "(eqn1)x2\r
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\n" ); document.write( "\n" ); document.write( "12c+10d=6 --(eqn 3)\r
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\n" ); document.write( "\n" ); document.write( "(eqn3) - (eqn2)\r
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\n" ); document.write( "\n" ); document.write( "(12c+10d)-(2c+10d)=6-(-28)
\n" ); document.write( "10c=34
\n" ); document.write( "c=3.4\r
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\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
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\n" ); document.write( "\n" ); document.write( "c=3.4 , d= -3.48 (ans)
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