document.write( "Question 500844: one number is eight more than a second number. Four times the first is 8 less than 5 times the second. Find the numbers.
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document.write( "This is what i have tried
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document.write( "x=8+y
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document.write( "2x=4y-8
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document.write( "2(8+y)= 4y-8
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document.write( "16+2y=4y-8
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document.write( "16+2y-2y=4y-2y-8
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document.write( "16=2y-8
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document.write( "16+8=2y-8+8
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document.write( "24/2=2y/2
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document.write( "y=12 \n" );
document.write( "
Algebra.Com's Answer #338302 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! one number is eight more than a second number. Four times the first is 8 less than 5 times the second. Find the numbers. \n" ); document.write( "Let numbers are x and y\r \n" ); document.write( "\n" ); document.write( "Given \n" ); document.write( "first number (x) \n" ); document.write( "is equal to \n" ); document.write( "8 more(+) than a second number (y) = 8+y \n" ); document.write( "Our equation will be \n" ); document.write( "x=8+y..........(1)\r \n" ); document.write( "\n" ); document.write( "Second part of the question says \n" ); document.write( "Four(4) times the first(x) = 4x \n" ); document.write( "is equal to \n" ); document.write( "Eight (8) less(-) than 5 times the second (y)=5y-8 \n" ); document.write( "Our equation will be \n" ); document.write( "4x=5y-8........(2)\r \n" ); document.write( "\n" ); document.write( "Plug in the value of x from (1) to (2) \n" ); document.write( "4x=5y-8 \n" ); document.write( "4(8+y)=5y-8 \n" ); document.write( "32+4y=5y-8 \n" ); document.write( "4y=5y-8-32 \n" ); document.write( "4y=5y-40 \n" ); document.write( "4y-5y=-40 \n" ); document.write( "-y=-40 \n" ); document.write( "Multiply above equation by (-1) \n" ); document.write( "(-1)(-y)=(-40)(-1) \n" ); document.write( "y=40\r \n" ); document.write( "\n" ); document.write( "Put the value of y in (1) \n" ); document.write( "x=8+y .......(1) \n" ); document.write( "x=8+40 \n" ); document.write( "x=48\r \n" ); document.write( "\n" ); document.write( "Numbers are 40 and 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "Put the value of x and y in either equation (1) or (2) \n" ); document.write( "We take (2)\r \n" ); document.write( "\n" ); document.write( "4x=5y-8 \n" ); document.write( "4(48)=5(40)-8 \n" ); document.write( "192=200-8 \n" ); document.write( "192=192\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |