document.write( "Question 858042: Find the equation of the line which passes through the point of the intersection of the two lines 3x - 4y =5 and x - y =2 in the orgin . If the line is represented in the form of ax (plus) by = c . \n" ); document.write( "

Algebra.Com's Answer #517389 by Fombitz(32388) $\"\"$ $\"About$

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First find the intersection of the two line.
\n" ); document.write( " $\"3x-4y=5\"$
\n" ); document.write( " $\"x-y=2\"$
\n" ); document.write( "Use eq. 2 to substitute for $\"x\"$ in eq. 1,
\n" ); document.write( " $\"x=y%2B2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"3%28y%2B2%29-4y=5\"$
\n" ); document.write( " $\"3y%2B6-4y=5\"$
\n" ); document.write( " $\"-y%2B6=5\"$
\n" ); document.write( " $\"-y=-1\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"x=1%2B2\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Now find the equation of the line that goes through (0,0) and (3,2).
\n" ); document.write( " $\"m=%282-0%29%2F%283-0%29=2%2F3\"$
\n" ); document.write( " $\"y=mx%2Bb\"$
\n" ); document.write( " $\"y=%282%2F3%29x\"$
\n" ); document.write( " $\"3y=2x\"$
\n" ); document.write( " $\"-2x%2B3y=0\"$
\n" ); document.write( " $\"highlight%282x-3y=0%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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