document.write( "Question 36967: The equations of 2 lines are shown below:\r
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document.write( "2x-4y=6\r
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document.write( "3x+y=-5\r
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document.write( "What are the coordinates of the point of intersection? \n" );
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Algebra.Com's Answer #22722 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! lines are shown below: \n" ); document.write( "2x-4y=6...................................I \n" ); document.write( "3x+y=-5.............................II \n" ); document.write( "What are the coordinates of the point of intersection? \n" ); document.write( "WE HAVE TO SOLVE THE 2 EQNS.AS THE POINT OF INTERSECTION SHOULD LIE ON BOTH LINES AND HENCE SHOULD SATISFY BOTH EQNS. \n" ); document.write( "EQN.I+EQN.II*4..GIVES \n" ); document.write( "2X-4Y+12X+4Y=6-20=-14 \n" ); document.write( "14X=-14 \n" ); document.write( "X=-1................SUBSTITUTING IN EQN.II \n" ); document.write( "3*(-1)+Y=-5 \n" ); document.write( "-3+Y=-5 \n" ); document.write( "Y=-5+3=-2 \n" ); document.write( "HENCE POINT OF INTERSECTION IS (-1,-2) \n" ); document.write( " |