document.write( "Question 153589: I need help solving this linear equation in three variables\r
\n" ); document.write( "\n" ); document.write( " 5y -7z = 14
\n" ); document.write( " 2x + y + 4z = 10
\n" ); document.write( " 2x + 6y - 3z = 30\r
\n" ); document.write( "\n" ); document.write( "please help me solve this equation.\
\n" ); document.write( "thanks
\n" ); document.write( "megan \n" ); document.write( "

Algebra.Com's Answer #113058 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
0x + 5y -7z = 14
\n" ); document.write( "2x + y + 4z = 10
\n" ); document.write( "2x + 6y - 3z = 30
\n" ); document.write( "-------------------------
\n" ); document.write( "Switch line 1 and line 2 to get:
\n" ); document.write( "-------------------------
\n" ); document.write( "2x + y + 4z = 10
\n" ); document.write( "0x + 5y -7z = 14
\n" ); document.write( "2x + 6y - 3z = 30
\n" ); document.write( "-------------------------
\n" ); document.write( "Subtract line 1 from line 3:
\n" ); document.write( "2x + y + 4z = 10
\n" ); document.write( "0x + 5y -7z = 14
\n" ); document.write( "0x + 5y -7z = 20
\n" ); document.write( "-------------------------
\n" ); document.write( "2x + y + 4z = 10
\n" ); document.write( "0x + 5y -7z = 14
\n" ); document.write( "0x + 0y -0z = 6
\n" ); document.write( "------------------------
\n" ); document.write( "The 3rd line is a contradiction and indicates there is no
\n" ); document.write( "solution to the system of three equations.
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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