document.write( "Question 252192: In an (x, y) coordinate system, write the equation of the vertical line passing
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document.write( "through the point of intersection of 3x + 4y = 1 and x + 3y = 7 . \n" );
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Algebra.Com's Answer #183958 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! In an (x, y) coordinate system, write the equation of the vertical line passing \n" ); document.write( "through the point of intersection of 3x + 4y = 1 and x + 3y = 7 . \n" ); document.write( ". \n" ); document.write( "First, find out where the two lines intersect: \n" ); document.write( "3x + 4y = 1 \n" ); document.write( " x + 3y = 7 \n" ); document.write( ". \n" ); document.write( "Multiply second equation by -3: \n" ); document.write( " 3x + 4y = 1 \n" ); document.write( "-3x - 9y = -21 \n" ); document.write( ". \n" ); document.write( "Add the two equations together: \n" ); document.write( " 3x + 4y = 1 \n" ); document.write( "-3x - 9y = -21 \n" ); document.write( "---------------- \n" ); document.write( " -5y = -20 \n" ); document.write( " y = 4 \n" ); document.write( ". \n" ); document.write( "Use the second equation to find x: \n" ); document.write( " x + 3y = 7 \n" ); document.write( " x + 3(4) = 7 \n" ); document.write( " x + 12 = 7 \n" ); document.write( " x = -5 (which is also the vertical line they are looking for) \n" ); document.write( " \n" ); document.write( " |