document.write( "Question 685486: please help me solve this problem:\r
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document.write( "x+3y=11
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document.write( "4x+y=6
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document.write( "using (3,-6)\r
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document.write( "may you determine if the given ordered pair is a solution to the linear equations and explain why. please and thank you \n" );
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Algebra.Com's Answer #424445 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 1 x + 3 y = 11 .............1 \n" ); document.write( " \n" ); document.write( "4 x + 1 y = 6 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by -3 \n" ); document.write( "1 x 3 y = 11 \n" ); document.write( "-12 x -3 y = -18 \n" ); document.write( "Add the two equations \n" ); document.write( "-11 x = -7 \n" ); document.write( "/ -11 \n" ); document.write( "x = 1 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 3 y = 11 \n" ); document.write( "1 + 3 y = 11 \n" ); document.write( " 3 y = 11 -1 \n" ); document.write( " 3 y = 10 \n" ); document.write( " y = 3 \n" ); document.write( "x= 1 \n" ); document.write( "y= 3 \r \n" ); document.write( "\n" ); document.write( "(1,3) is the solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If (3,-6) is a solution then it must satisfiy both equations. \n" ); document.write( "plug (3,-6) in one of the equations \n" ); document.write( "x+3y=11\r \n" ); document.write( "\n" ); document.write( "3+(-6)3=-15. \r \n" ); document.write( "\n" ); document.write( "This is not equal to 11 hence (3,-6) is not the solution of this system \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |