document.write( "Question 333422: For the problem I have to solve it says I have to write a system of equations involving two equations in two variables then to solve the system. Here is the problem: Jean is twice as old as Michael. The sum of their ages 3 years ago was 45 years. Find their ages now.
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document.write( "I tried to solve it without the sytem of equations and i got the answer of jean:32 and Michael:16 but then I realized I would get the question wrong if I didn't show the system of equations. Please help me. \n" );
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Algebra.Com's Answer #238918 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Here it is step-by-step, it's not that hard. \n" ); document.write( ": \n" ); document.write( "Let j = Jean's present age \n" ); document.write( "let m = Michael's present age \n" ); document.write( "; \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"Jean is twice as old as Michael.\" \n" ); document.write( "j = 2m \n" ); document.write( ": \n" ); document.write( "\"The sum of their ages 3 years ago was 45 years.\" \n" ); document.write( "(j-3) + (m-3) = 45 \n" ); document.write( "Simplify \n" ); document.write( "j + m - 6 = 45 \n" ); document.write( "j + m = 45 + 6 \n" ); document.write( "j + m = 51 \n" ); document.write( ": \n" ); document.write( "From the 1st statement equation, replace j with 2m \n" ); document.write( "2m + m = 51 \n" ); document.write( "3m = \n" ); document.write( "m = 17 yrs is Michael's present age \n" ); document.write( "then we know j = 2m, therefore \n" ); document.write( "j = 2(17) \n" ); document.write( "j = 34 yrs is Jean's present age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Prove this using the 2nd statment \n" ); document.write( "\"The sum of their ages 3 years ago was 45 years.\" \n" ); document.write( "(34-3) + (17-3) = \n" ); document.write( "31 + 14 = 45 \n" ); document.write( "; \n" ); document.write( "Did this make sense to you?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |