document.write( "Question 487706:
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document.write( "Which of the ordered pairs
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document.write( " (–4, 2), (4, 0), (–8, –3), (–16, 5)
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document.write( "are solutions for the equation x + 4y = 4?
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Algebra.Com's Answer #333108 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Let's see if (-4, 2) is a solution for \r\n" ); document.write( "\r\n" ); document.write( "x + 4y = 4\r\n" ); document.write( "\r\n" ); document.write( "The first number in (-4, 2) is -4. That tells you what to substitute for x.\r\n" ); document.write( "The second number in (-4, 2) is 2. That tells you what to substitute for y.\r\n" ); document.write( "\r\n" ); document.write( "So in place of x in x + 4y = 4, write (-4) instead, and\r\n" ); document.write( "in place of y in x + 4y = 4, write (2) instead. Then we have this:\r\n" ); document.write( "\r\n" ); document.write( " x + 4y = 4\r\n" ); document.write( "(-4) + 4(2) = 4\r\n" ); document.write( " -4 + 8 = 4\r\n" ); document.write( " 4 = 4\r\n" ); document.write( "\r\n" ); document.write( "Since 4 does equal 4 (-4, 2) IS a solution to x + 4y = 4.\r\n" ); document.write( "\r\n" ); document.write( "-------------------\r\n" ); document.write( "Let's see if (4, 0) is a solution for \r\n" ); document.write( "\r\n" ); document.write( "x + 4y = 4\r\n" ); document.write( "\r\n" ); document.write( "The first number in (4, 0) is 4. That tells you what to substitute for x.\r\n" ); document.write( "The second number in (4, 0) is 0. That tells you what to substitute for y.\r\n" ); document.write( "\r\n" ); document.write( "So in place of x in x + 4y = 4, write (4) instead, and\r\n" ); document.write( "in place of y in x + 4y = 4, write (0) instead. Then we have this:\r\n" ); document.write( "\r\n" ); document.write( " x + 4y = 4\r\n" ); document.write( " (4) + 4(0) = 4\r\n" ); document.write( " 4 + 0 = 4\r\n" ); document.write( " 4 = 4\r\n" ); document.write( "\r\n" ); document.write( "Since 4 does equal 4 (4, 0) IS a solution to x + 4y = 4.\r\n" ); document.write( "\r\n" ); document.write( "-------------------\r\n" ); document.write( "Let's see if (-8, -3) is a solution for \r\n" ); document.write( "\r\n" ); document.write( "x + 4y = 4\r\n" ); document.write( "\r\n" ); document.write( "The first number in (-8, -3) is -8. That tells you what to substitute for x.\r\n" ); document.write( "The second number in (-8, -3) is -3. That tells you what to substitute for y.\r\n" ); document.write( "\r\n" ); document.write( "So in place of x in x + 4y = 4, write (-8) instead, and\r\n" ); document.write( "in place of y in x + 4y = 4, write (-3) instead. Then we have this:\r\n" ); document.write( "\r\n" ); document.write( " x + 4y = 4\r\n" ); document.write( "(-8) + 4(-3) = 4\r\n" ); document.write( " -8 - 12 = 4\r\n" ); document.write( " -20 = 4\r\n" ); document.write( "\r\n" ); document.write( "Since -20 does NOT equal 4 (-8, -3) is NOT a solution to x + 4y = 4.\r\n" ); document.write( "\r\n" ); document.write( "-------------------\r\n" ); document.write( "\r\n" ); document.write( "Let's see if (-16, 5) is a solution for \r\n" ); document.write( "\r\n" ); document.write( "x + 4y = 4\r\n" ); document.write( "\r\n" ); document.write( "The first number in (-16, 5) is -16. That tells you what to substitute for x.\r\n" ); document.write( "The second number in (-16, 5) is 5. That tells you what to substitute for y.\r\n" ); document.write( "\r\n" ); document.write( "So in place of x in x + 4y = 4, write (-16) instead, and\r\n" ); document.write( "in place of y in x + 4y = 4, write (5) instead. Then we have this:\r\n" ); document.write( "\r\n" ); document.write( " x + 4y = 4\r\n" ); document.write( "(-16) + 4(5) = 4\r\n" ); document.write( " -16 + 20 = 4\r\n" ); document.write( " 4 = 4\r\n" ); document.write( "\r\n" ); document.write( "Since 4 does equal 4 (-16, 5) IS a solution to x + 4y = 4.\r\n" ); document.write( "\r\n" ); document.write( "------\r\n" ); document.write( "\r\n" ); document.write( "So only one of them (-8, -3) is not a solution to x + 4y = 4.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |