document.write( "Question 259757: how do it find the intersection of the lines x subscript 1 -5x subscript 2 =1 and 3x subscript 1 -7xsupscript 2 =5 \n" ); document.write( "

Algebra.Com's Answer #191231 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Instead of subscript 1 and 2, let's do this
\n" ); document.write( " $\"x1=x\"$
\n" ); document.write( " $\"x2=y\"$
\n" ); document.write( "It'll reduce the confusion, I think.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "1. $\"x-5y=1\"$
\n" ); document.write( "2. $\"3x-7y=5\"$
\n" ); document.write( "Use eq. 1 to solve for x in terms of y.
\n" ); document.write( " $\"x=1%2B5y\"$
\n" ); document.write( "Now substitute into eq. 2 and solve for y.
\n" ); document.write( " $\"3x-7y=5\"$
\n" ); document.write( " $\"3%281%2B5y%29-7y=5\"$
\n" ); document.write( " $\"3%2B15y-7y=5\"$
\n" ); document.write( " $\"8y=2\"$
\n" ); document.write( " $\"y=1%2F4\"$
\n" ); document.write( "Then use eq. 1 again,
\n" ); document.write( " $\"x=1%2B5y\"$
\n" ); document.write( " $\"x=1%2B5%281%2F4%29\"$
\n" ); document.write( " $\"x=9%2F4\"$
\n" ); document.write( "Now we can re-name them back to the originals,
\n" ); document.write( " $\"x1=9%2F4\"$
\n" ); document.write( " $\"x2=1%2F4\"$
\n" ); document.write( " \n" ); document.write( "

\n" );