document.write( "Question 196166: what is the solution to this system of equations
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document.write( "y=-3x-2
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document.write( "6x+2y=-4 \n" );
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Algebra.Com's Answer #147073 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! (1) y = -3x -2 \n" ); document.write( "(2) 6x +2y =-4 \n" ); document.write( "substitute (1) into (2) \n" ); document.write( "6x +2(-3x-2) = -4 \n" ); document.write( "6x -6x -4 = -4 \n" ); document.write( "-4 = -4 \n" ); document.write( ", \n" ); document.write( "This is an indication that the solution is all real numbers \n" ); document.write( "and that the lines are coincident \n" ); document.write( ". \n" ); document.write( "looking at (1),, if we multiply by 2 throughout and rearrange it is the same as (2) \n" ); document.write( ". \n" ); document.write( "y = -3x -2 \n" ); document.write( "2y =-6x -4 \n" ); document.write( "or 6x +2y = -4, and (1) =(2) exactly \n" ); document.write( ". \n" ); document.write( "the lines are on top of each other \n" ); document.write( "Some of the answers that fit include, (0 -2), (1, -5), (2, -8) \n" ); document.write( " |