document.write( "Question 659977: complete the ordered pairs for the given equation:
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document.write( "7x+3y=21
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document.write( "(0, ),( ,0),(6, ),( ,14) \n" );
document.write( "
Algebra.Com's Answer #411018 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! complete the ordered pairs for the given equation: \n" ); document.write( "7x+3y=21 \n" ); document.write( "(0, ), \n" ); document.write( " \r\n" ); document.write( "We are given the first coordinate 0 and we are asked to find the \r\n" ); document.write( "second coordinate. The first coordinate is what we substitute\r\n" ); document.write( "for x, so we will substitute 0 for x in\r\n" ); document.write( "\r\n" ); document.write( " 7x+3y = 21 and solve for the other letter y:\r\n" ); document.write( "\r\n" ); document.write( "7(0)+3y = 21\r\n" ); document.write( " 0+3y = 21\r\n" ); document.write( " 3y = 21\r\n" ); document.write( " y = 7\r\n" ); document.write( "\r\n" ); document.write( "So the first one is (0,7)\r\n" ); document.write( "\r\n" ); document.write( "------------------------\r\n" ); document.write( " \n" ); document.write( "( ,0), \n" ); document.write( " \r\n" ); document.write( "We are given the second coordinate 0 and we are asked to find the \r\n" ); document.write( "first coordinate. The second coordinate is what we substitute\r\n" ); document.write( "for y, so we will substitute 0 for y in\r\n" ); document.write( "\r\n" ); document.write( " 7x+3y = 21 and solve for the other letter x:\r\n" ); document.write( "\r\n" ); document.write( "7x+3(0) = 21\r\n" ); document.write( " 7y+0 = 21\r\n" ); document.write( " 7y = 21\r\n" ); document.write( " y = 3\r\n" ); document.write( "\r\n" ); document.write( "So the second one is (3,0)\r\n" ); document.write( "\r\n" ); document.write( "------------------------\r\n" ); document.write( " \n" ); document.write( "(6, ), \n" ); document.write( " \r\n" ); document.write( "We are given the first coordinate 6 and we are asked to find the \r\n" ); document.write( "second coordinate. The first coordinate is what we substitute\r\n" ); document.write( "for x, so we will substitute 6 for x in\r\n" ); document.write( "\r\n" ); document.write( " 7x+3y = 21 and solve for the other letter y:\r\n" ); document.write( "\r\n" ); document.write( "7(6)+3y = 21\r\n" ); document.write( " 42+3y = 21\r\n" ); document.write( " 3y = -21\r\n" ); document.write( " y = -7\r\n" ); document.write( "\r\n" ); document.write( "So the third one is (6,-7)\r\n" ); document.write( "\r\n" ); document.write( "------------------------\r\n" ); document.write( " \n" ); document.write( "( ,14), \n" ); document.write( " \r\n" ); document.write( "We are given the second coordinate 14 and we are asked to find the \r\n" ); document.write( "first coordinate. The second coordinate is what we substitute\r\n" ); document.write( "for y, so we will substitute 14 for y in\r\n" ); document.write( "\r\n" ); document.write( " 7x+3y = 21 and solve for the other letter x:\r\n" ); document.write( "\r\n" ); document.write( "7x+3(14) = 21\r\n" ); document.write( " 7y+42 = 21\r\n" ); document.write( " 7y = -21\r\n" ); document.write( " y = -3\r\n" ); document.write( "\r\n" ); document.write( "So the last one is (-3,14)\r\n" ); document.write( "\r\n" ); document.write( "------------------------\r\n" ); document.write( "\r\n" ); document.write( "Now we'll plot those ordered pairs as points:\r\n" ); document.write( "\r\n" ); document.write( " (0,7), (3,0), (6,-7), (-3,14) \r\n" ); document.write( "\r\n" ); document.write( "and this is what we see on the left, and on the right \r\n" ); document.write( "we see that they all line up so that we can get a ruler \r\n" ); document.write( "and draw a straight line through all of those points\r\n" ); document.write( "represented by those ordered pairs.\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |