document.write( "Question 24087: 3x-y=11
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document.write( "x+2y=-36 \n" );
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Algebra.Com's Answer #12786 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! 3x-y=11 \n" ); document.write( "x+2y=-36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Because both equations are in standard form, it will be easiest to use the elimination method. To eliminate the y terms, multiply the first equation by 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(3x-y)=2*11 \n" ); document.write( "x+2y=-36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x-2y=22 \n" ); document.write( "x+2y=-36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x = -14 \n" ); document.write( "x=-2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute the value of x=-2 into the either equation:\r \n" ); document.write( "\n" ); document.write( "3x-y=11 \n" ); document.write( "3(-2) - y = 11 \n" ); document.write( "-6 -y = 11 \n" ); document.write( "-y = 17 \n" ); document.write( "y=-17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check in the second equation:\r \n" ); document.write( "\n" ); document.write( "x+2y=-36 \n" ); document.write( "-2 + 2(-17) = -36 \n" ); document.write( "-2 - 34 = -36 \n" ); document.write( "It checks!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution is the point (-2, -17)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC \n" ); document.write( " |