document.write( "Question 963098: Find the equation of the line through the point of intersection of 2x+3y=5 and 3x-y=2,and which is parallel to 4y-x=14 \n" ); document.write( "

Algebra.Com's Answer #588425 by Fombitz(32388) $\"\"$ $\"About$

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First find the intersection point.
\n" ); document.write( "From the second equation,
\n" ); document.write( " $\"y=3x-2\"$
\n" ); document.write( "Substitute into the first,
\n" ); document.write( " $\"2x%2B3%283x-2%29=5\"$
\n" ); document.write( " $\"2x%2B9x-6=5\"$
\n" ); document.write( " $\"11x=11\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "Then use either equation to find y.
\n" ); document.write( " $\"y=3%281%29-2\"$
\n" ); document.write( " $\"y=3-2\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( "(1,1)
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\n" ); document.write( "A parallel line would have the same left hand side.
\n" ); document.write( " $\"4y-x=D\"$
\n" ); document.write( "Use the point to solve for D.
\n" ); document.write( " $\"4%281%29-1=D\"$
\n" ); document.write( " $\"D=4-1\"$
\n" ); document.write( " $\"D=3\"$
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\n" ); document.write( " $\"highlight%284y-x=3%29\"$
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