document.write( "Question 3175: in the park, Doyen saw people and dogs. Altogether he counted 10 heads and 26 legs. How many dogs and people did he see? \n" ); document.write( "

Algebra.Com's Answer #1357 by xcentaur(357) $\"\"$ $\"About$

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no of people=x
\n" ); document.write( "no of dofs=y\r
\n" ); document.write( "\n" ); document.write( "no of heads=(x+y)
\n" ); document.write( "no of legs=(2x+4y)\r
\n" ); document.write( "\n" ); document.write( "substituting given values,\r
\n" ); document.write( "\n" ); document.write( "x+y=10 --- [1]
\n" ); document.write( "2x+4y=26 --[2]\r
\n" ); document.write( "\n" ); document.write( "solving simueltanously,
\n" ); document.write( "

\n" ); document.write( "x=10-y
\n" ); document.write( "

\n" ); document.write( "2x+4y=26
\n" ); document.write( "

\n" ); document.write( "2(10-y)+4y=26
\n" ); document.write( "

\n" ); document.write( "20-2y+4y=26
\n" ); document.write( "

\n" ); document.write( "20+2y=26
\n" ); document.write( "

\n" ); document.write( "2y=6
\n" ); document.write( "

\n" ); document.write( "y=3
\n" ); document.write( "

\n" ); document.write( "x=10-y=10-3=7
\n" ); document.write( "

\n" ); document.write( "Thus: x=7,y=3
\n" ); document.write( "

\n" ); document.write( "3 dogs and 7 people \n" ); document.write( "

\n" );