document.write( "Question 230976: The sum of three numbers is 9. The first number minus the second plus the third is 3. The first minus the third is 1 more than the second. Find the numbers.\r
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document.write( "What is the first number? _____\r
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document.write( "What is the second number? ______\r
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document.write( "What is the third number? ______ \n" );
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Algebra.Com's Answer #171049 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Three integers, x, y, z \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "The sum of three numbers is 9. \n" ); document.write( "x + y + z = 9 \n" ); document.write( ": \n" ); document.write( " The first number minus the second plus the third is 3. \n" ); document.write( "x - y + z = 3 \n" ); document.write( ": \n" ); document.write( " The first minus the third is 1 more than the second. \n" ); document.write( "x - z = y + 1 \n" ); document.write( "rearrange to: \n" ); document.write( "x - y - z = 1 \n" ); document.write( ": \n" ); document.write( "Add to the 1st equation \n" ); document.write( "x + y + z = 9 \n" ); document.write( "x - y - z = 1 \n" ); document.write( "----------------addition eliminates y and z, find x \n" ); document.write( "2x = 10 \n" ); document.write( "x = 5 \n" ); document.write( ": \n" ); document.write( "Substitute for x and add the 1st two equations \n" ); document.write( "5 + y + z = 9 >>>> y + z = 9 - 5 >>>> y + z = 4 \n" ); document.write( "5 - y + z = 3 >>>>-y + z = 3 - 5 >>>>-y + z =-2 \n" ); document.write( "................................................-------------------- \n" ); document.write( "...................................................................2z = 2 \n" ); document.write( "z = 1 \n" ); document.write( ": \n" ); document.write( "I'll let you find y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Find the numbers. \n" ); document.write( "What is the first number? _____ \n" ); document.write( "What is the second number? ______ \n" ); document.write( "What is the third number? ______ \n" ); document.write( " |