document.write( "Question 136567: How do I go about solving this? The answer is yes but I don't know why. Please help. Thank You very much:)\r
\n" ); document.write( "\n" ); document.write( "Determine whether the given point is in the solution set to the given system.
\n" ); document.write( "(-3, -1, 4)
\n" ); document.write( "2x-2y-3z=-16
\n" ); document.write( "4x-3y+3z=3
\n" ); document.write( "x+y-5z=-24
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Algebra.Com's Answer #100020 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Replace the x, the y, and the z with the values given to
\n" ); document.write( "see if you get three true statements:
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\n" ); document.write( "Determine whether the given point is in the solution set to the given system.
\n" ); document.write( "(-3, -1, 4)
\n" ); document.write( "2x-2y-3z=-16
\n" ); document.write( "2*-3 -2*-1 -3*4 = -16
\n" ); document.write( "-6 +2 -12 = -16
\n" ); document.write( "-18+2 = -16
\n" ); document.write( "-16 = -16
\n" ); document.write( "So the 1st equation is true when x=-3,y=-1,z=4
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\n" ); document.write( "Make the same substitution for the 2nd equation and then the 3rd:
\n" ); document.write( "4x-3y+3z=3
\n" ); document.write( "x+y-5z=-24\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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