document.write( "Question 181414: Hi.\r
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document.write( "I'm checking to see if I solved this problem correctly.
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document.write( "Solve each system by addition, if possible\r
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document.write( "{2y-3x=-13
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document.write( " 3x-17=4y\r
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document.write( "thanks\r
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document.write( "H.C. \n" );
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Algebra.Com's Answer #136031 by eperette(173)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "2y-3x=-13 \n" ); document.write( " 3x-17=4y\r \n" ); document.write( "\n" ); document.write( "WE WILL SOLVE BY USING THE ELIMINATION METHOD ....IT IS ALWAYS BETTER TO ALIGN THE X's UNDERNEATH THE X's, AND SO ON... \n" ); document.write( "************ \n" ); document.write( "(1) REORDERING \n" ); document.write( "-3x + 2y = -13 \n" ); document.write( " 3x - 4y = 17 \n" ); document.write( "**************** \n" ); document.write( "since we have a positive and negative 3x we can add both equations to get rid of the x's\r \n" ); document.write( "\n" ); document.write( "(-3x + 2y = -13) \n" ); document.write( "+(3x - 4y = 17) \n" ); document.write( "***********************\r \n" ); document.write( "\n" ); document.write( "0x - 2y = 4 \n" ); document.write( "-2y/-2 = 4/-2 \n" ); document.write( "y = -2 \n" ); document.write( "*********************** \n" ); document.write( "go back and substitute to find into any complete equation... \n" ); document.write( "-3x + 2y = -13 \n" ); document.write( "-3x + 2(-2) = -13 \n" ); document.write( "-3x - 4 = -13 \n" ); document.write( "-3x - 4 + 4 = -13 + 4 \n" ); document.write( "-3x + 0 = -9 \n" ); document.write( "-3x/-3 = -9/-3 \n" ); document.write( "x = 3 \n" ); document.write( "********************** \n" ); document.write( "so your answer is the coordinate point (3, -2) \n" ); document.write( "********************** \n" ); document.write( "LETS CHECK: \n" ); document.write( "-3x + 2y = -13 \n" ); document.write( "-3(3)+2(-2) \n" ); document.write( "-9 - 4 \n" ); document.write( "-13 good \n" ); document.write( "3x - 4y = 17 \n" ); document.write( "3(3)-4(-2) \n" ); document.write( "9+8 \n" ); document.write( "17 good \n" ); document.write( " \n" ); document.write( " |