document.write( "Question 1117716: Solve the system by back substitution.\r
\n" ); document.write( "\n" ); document.write( "2x+4y+z+3w=1
\n" ); document.write( " y+6z+2w=8
\n" ); document.write( " z+w= 2
\n" ); document.write( " 2w= 6
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "The solution set is: _, _, _, _ \n" ); document.write( "

Algebra.Com's Answer #732829 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "1. Solve the last equation for

.\r
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\n" ); document.write( "\n" ); document.write( "2. Substitute the value of

you discovered in step 1 into the third equation and then solve for

.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. Substitute the value of

from step 1 and the value of

from step 2 into the second equation and then solve for

.\r
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\n" ); document.write( "\n" ); document.write( "4. Substitute the values of

, and

from the first three steps into the first equation and solve for

\r
\n" ); document.write( "\n" ); document.write( "The way you are asking for the answer is incorrect. A list of the values of the four variables is NOT the solution set of the 4X4 system of equations. The solution set of this system has a single element, namely the ordered quadruple of the form

. The solution set would then need to be written:

.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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