document.write( "Question 1171488: Could you verify if I have correctly used two unknowns and a system of equations to solve the two word problems below?\r
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document.write( "Solve each problem using two unknowns and a system of two equations. Also check your work.\r
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document.write( "Problem 1:\r
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document.write( "One number is 7 more than another number. The sum of these two numbers is 101. What is the numbers?\r
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document.write( "x=y+7
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document.write( "x+y= 101\r
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document.write( "(y+7) + y=101
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document.write( "y+7+y=101
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document.write( "2y=101-7
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document.write( "2y=94
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document.write( "y=47\r
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document.write( "x=47+7
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document.write( "x=54\r
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document.write( "Check:
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document.write( "x=47+7=54\r
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document.write( "54+47=101\r
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document.write( "Problem 2:\r
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document.write( "The difference of two numbers is -1. If twice the first number is added to three times the second number, the result is 13. What are the numbers?\r
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document.write( "x-y=-1
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document.write( "2x+3y=13\r
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document.write( "3(x-7)=3(-1)
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document.write( "3x-3y=-3
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document.write( "2x+3y=13
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document.write( "5x=10
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document.write( "x=2\r
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document.write( "2-y=-1
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document.write( "-y=-1-2
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document.write( "-y=-3
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document.write( "y=3\r
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document.write( "Check:\r
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document.write( "2-3=-1\r
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document.write( "2(2)+3(3)=13
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document.write( "4+9=13
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document.write( "13=13\r
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document.write( "Thank you\r
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document.write( "
Algebra.Com's Answer #796397 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Both are correct.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |