document.write( "Question 857292: The two straight lines 3y + 2x - 7 = 0 and 2 y = x - 7 intersect at the point P. Q is the point (-9,2) . Find equation of PQ. \n" ); document.write( "
Algebra.Com's Answer #516472 by mananth(16946)\"\" \"About 
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3y + 2x - 7 = 0 anFind pd 2 y = x - 7 intersect at the point P. Q is the point (-9,2)\r
\n" ); document.write( "\n" ); document.write( "Find P solve for x &y\r
\n" ); document.write( "\n" ); document.write( "2 x + 3 y = 7 .............1
\n" ); document.write( "Total value
\n" ); document.write( "1 x -2 y = 7 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 2
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "4 x 6 y = 14
\n" ); document.write( "3 x -6 y = 21
\n" ); document.write( "Add the two equations
\n" ); document.write( "7 x = 35
\n" ); document.write( "/ 7
\n" ); document.write( "x = 5
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2 x + 3 y = 7
\n" ); document.write( "10 + 3 y = 7
\n" ); document.write( " 3 y = 7 -10
\n" ); document.write( " 3 y = -3
\n" ); document.write( " y = -1
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\n" ); document.write( "P(5,-1) Q(-9,2)\r
\n" ); document.write( "\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "5 -1 -9 2
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\n" ); document.write( "The general equation of the line when co-ordinates of two points are given is
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\n" ); document.write( "\"%28y-%09y1%29%2F%28%09y1-y2%29+=+%28x-x1%29%2F%28x1-x2%29\"
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\n" ); document.write( "\"%28y%091++++++%09%29%2F%28%09-3++++++%09%29=%28x%09-5++++++%09%29+%2F%28%0914++++++%09%29\"
\n" ); document.write( "
\n" ); document.write( "\"+%0914++++++%09%28y%2B%091++++++%09%29+=%09-3++++++%09%28x-%095++++++%09%29\"
\n" ); document.write( "
\n" ); document.write( "14 y+ 14 = -3 x+ 15
\n" ); document.write( "
\n" ); document.write( "14 y= -3 x 1
\n" ); document.write( "/ 14
\n" ); document.write( "y= - 3/14 x+ 1/14
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