document.write( "Question 826654: Hi. I'm in grade 7 and i'm not quite sure if this is under the right category but the category I'm talking about is Algebra. I missed a homework handout of Algebra a while ago and now i forget how to do it. the question I'm stuck on is:
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document.write( "if x,y and z are positive integers with xy=18, xz=3 and yz=6, what is the value of x+y+z? \n" );
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Algebra.Com's Answer #498357 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! if x,y and z are positive integers with xy=18, xz=3 and yz=6, \n" ); document.write( " what is the value of x+y+z? \n" ); document.write( "; \n" ); document.write( "Rearrange the equations and substitute \n" ); document.write( "xy = 18 \n" ); document.write( "y = \n" ); document.write( ": \n" ); document.write( "xz = 3 \n" ); document.write( "z = \n" ); document.write( ": \n" ); document.write( "yz = 6 \n" ); document.write( "replace y with 18/x and replace z with 3/x \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "54 = 6x^2; multiplied both sides by x^2 \n" ); document.write( " \n" ); document.write( "9 = x^2 \n" ); document.write( "x = \n" ); document.write( "x = 3 \n" ); document.write( "then \n" ); document.write( "3y = 18 \n" ); document.write( "y = 6 \n" ); document.write( "and \n" ); document.write( "6z = 6 \n" ); document.write( "z = 1 \n" ); document.write( "Find x + y + z \n" ); document.write( "3 + 6 + 1 = 10 \n" ); document.write( " \n" ); document.write( " |