document.write( "Question 135416: The sum of Nora's age and her grandmother's age is 71. Four times Nora's age is six less than the grandmother's age. Find their ages.\r
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document.write( "so far, I've got...\r
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document.write( "let x = Nora's age
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document.write( "let y = grandmother's age\r
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document.write( "one equation i got so far is x + y = 71.
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document.write( "i can't figure out the other equation though... \n" );
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Algebra.Com's Answer #99214 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "WELL, YOU ARE RIGHT ON, SO FAR!!!!!!!!!!!!!!!!!GOOD WORK! IT'S A START.\r \n" ); document.write( "\n" ); document.write( "Lets look at this: \n" ); document.write( "----------Four times Nora's age is six less than the grandmother's age--\r \n" ); document.write( "\n" ); document.write( "4x=4 times Nora's age \n" ); document.write( "y-6= six less that grandmother's age, so:\r \n" ); document.write( "\n" ); document.write( "4x=y-6-------------------------------------eq2\r \n" ); document.write( "\n" ); document.write( "In your equation, if we subtract x from each side we end up with:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=71-x now lets substitute this into eq2\r \n" ); document.write( "\n" ); document.write( "4x=71-x-6 add x to each side\r \n" ); document.write( "\n" ); document.write( "4x+x=71-x+x-6 collect like terms\r \n" ); document.write( "\n" ); document.write( "5x=65 divide each side by 5\r \n" ); document.write( "\n" ); document.write( "x=13-----------------------------Nora's age\r \n" ); document.write( "\n" ); document.write( "substituting this into your equation, we get:\r \n" ); document.write( "\n" ); document.write( "13+y=71 subtract 13 from each side \n" ); document.write( "y=71-13=58--------------------------------grandmother's age\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "58+13=71 \n" ); document.write( "71=71 \n" ); document.write( "and \n" ); document.write( "4*13=58-6 \n" ); document.write( "52=52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " \n" ); document.write( " |