document.write( "Question 487386: can someone plss help me im very stuck ?\r
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document.write( "decide whether the given ordered pair is a solution of the given system.\r
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document.write( " 1. (3,-7)
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document.write( " 5x + y = 8
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document.write( " 2x - 3y = 28\r
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Algebra.Com's Answer #333036 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " (3,-7)\r\n" ); document.write( "\r\n" ); document.write( "ì5x + y = 8\r\n" ); document.write( "í\r\n" ); document.write( "î2x - 3y = 28\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "Substitute the first number, 3, for x and the second number -7 for y\r\n" ); document.write( "in both equations and see if you end up with the same number on both\r\n" ); document.write( "sides of the equal sign.\r\n" ); document.write( "\r\n" ); document.write( "Substituting 3 for x and -7 for y in the first equation of the system:\r\n" ); document.write( "\r\n" ); document.write( " 5x + y = 8\r\n" ); document.write( "5(3) + (-7) = 8\r\n" ); document.write( " 15 - 7 = 8\r\n" ); document.write( " 8 = 8\r\n" ); document.write( "\r\n" ); document.write( "So (3,-7) is a solution to the first equation. But in order to be\r\n" ); document.write( "a solution for the whole system, (3,-7) must also be a solution\r\n" ); document.write( "to the second equation:\r\n" ); document.write( "\r\n" ); document.write( "Substituting 3 for x and -7 for y in the second equation:\r\n" ); document.write( "\r\n" ); document.write( " 2x - 3y = 28\r\n" ); document.write( "2(3) - 3(-7) = 28\r\n" ); document.write( " 6 + 21 = 28\r\n" ); document.write( " 27 = 28\r\n" ); document.write( "\r\n" ); document.write( "So (3,-7) is not a solution to the second equation so it is not\r\n" ); document.write( "a solution to the system.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |