document.write( "Question 58127This question is from textbook Beginning Algebra
\n" ); document.write( ": Can someone help me on this problem?\r
\n" ); document.write( "\n" ); document.write( " I need to solve the following systems by substitution:\r
\n" ); document.write( "\n" ); document.write( " 4x - 12y = 5
\n" ); document.write( " -x + 3y = -1\r
\n" ); document.write( "\n" ); document.write( " Thanks,
\n" ); document.write( " Lyn \n" ); document.write( "
Algebra.Com's Answer #39895 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
This system cannot be solved, as you will see, but here is the method
\n" ); document.write( ":
\n" ); document.write( "4x - 12y = 5
\n" ); document.write( "-x + 3y = -1
\n" ); document.write( ":
\n" ); document.write( "The easiest equation to use for substitution:
\n" ); document.write( "-x + 3y = -1
\n" ); document.write( "-x = -1 - 3y
\n" ); document.write( "x = (3y + 1); got rid of all those negatives, multiplied eq by -1
\n" ); document.write( ":
\n" ); document.write( "Substitute (3y + 1) for x in the 1st equation:
\n" ); document.write( "4x - 12y = 5
\n" ); document.write( "4(3y + 1) - 12y = 5
\n" ); document.write( "12y + 4 -12y = 5
\n" ); document.write( "12y - 12y = 5 - 4
\n" ); document.write( " 0 = 1
\n" ); document.write( ":
\n" ); document.write( "Obviously, this is not possible, so this system is inconsistant
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "
\n" );