document.write( "Question 254322: What is the value of k if the line 2x - 3y = 5 is parallel to the line 2x + (k - 3)y = 7? \n" ); document.write( "

Algebra.Com's Answer #186679 by drk(1908) $\"\"$ $\"About$

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Step 1 - solve this equation for y.
\n" ); document.write( " $\"2x+-+3y+=+5\"$
\n" ); document.write( " $\"-3y+=+-2x+%2B+5\"$
\n" ); document.write( " $\"y+=+%282%2F3%29x+-5%2F3\"$
\n" ); document.write( "Notice the slope is 2/3.
\n" ); document.write( "We want parallel slope so we use the same fraction 2/3.
\n" ); document.write( "Step 2 - solve this equation for y.
\n" ); document.write( " $\"2x+%2B+%28k+-+3%29y++=++7\"$
\n" ); document.write( " $\"%28k+-+3%29y+=+-2x+%2B+7\"$
\n" ); document.write( " $\"y+=%28+-2%2F%28k-3%29%29x+%2B7%2F%28+k-3%29\"$
\n" ); document.write( "The slope here is
\n" ); document.write( "-2/(k-3) which is equal to 2/3 as
\n" ); document.write( " $\"-2%2F%28k-3%29+=+2%2F3\"$
\n" ); document.write( " $\"-6+=+2%28K-3%29\"$
\n" ); document.write( " $\"-6+=+2k+-+6\"$
\n" ); document.write( " $\"+k+=+0\"$ \n" ); document.write( "

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