document.write( "Question 377179: Solve using the substitution method:
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document.write( "x-y=5 x+2y=7
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document.write( "I came up with 15y=7 \n" );
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Algebra.Com's Answer #268756 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! x-y = 5...equation 1 \n" ); document.write( "x+2y=7....equation 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - y = 5\r \n" ); document.write( "\n" ); document.write( "-y = -x + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = (-x + 5)/-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = x - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug (x - 5) for y into equation 2 and solve for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 2y = 7 \r \n" ); document.write( "\n" ); document.write( "x + 2(x - 5) = 7\r \n" ); document.write( "\n" ); document.write( "x + 2x - 10 = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x - 10 = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 7 + 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 17/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We now plug 17/3 into EITHER equation 1 or 2 to find the value of y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I will use x - y = 5 but you can use the other equation if you'd like.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17/3 - y = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-y = 5 - 17/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-y = -2/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -2/3 divided by -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 2/3\r \n" ); document.write( "\n" ); document.write( "Final answer: x = 17/3 and y = 2/3 which can also be written as a point in the form (17/3, 2/3).\r \n" ); document.write( "\n" ); document.write( "That is the point where the two lines meet on the coordinate plane.\r \n" ); document.write( "\n" ); document.write( "Understand?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |