document.write( "Question 943516: x+y = 10, x+z =20, y+z=24 \n" ); document.write( "

Algebra.Com's Answer #575215 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"x%2By+=+10\"$ ....eq.1
\n" ); document.write( " $\"x%2Bz+=20\"$ ....eq.2
\n" ); document.write( " $\"y%2Bz=24\"$ ....eq.3
\n" ); document.write( "----------------\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By+=+10\"$ ....eq.1...solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+10-y\"$ ....eq.1a ...substitute in eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"10-y%2Bz+=20\"$ ....eq.2..solve for $\"z\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z+=y%2B20-10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z+=y%2B10\"$ .....eq.2a ...substitute in eq.3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y%2By%2B10=24\"$ ....eq.3..solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2y=24-10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2y=14\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=14%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=7%29\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"x+=+10-y\"$ ....eq.1a substitute $\"7\"$ for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+10-7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x+=+3%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to $\"z+=y%2B10\"$ .....eq.2a substitute $\"7\"$ for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"z+=7%2B10\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28z+=17%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );