document.write( "Question 141359This question is from textbook Prentice hall algebra 1
\n" ); document.write( ": How do I solve using a system of two linear equations in two variables?\r
\n" ); document.write( "\n" ); document.write( "Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #103002 by ankor@dixie-net.com(22740)\"\" \"About 
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How do I solve using a system of two linear equations in two variables?
\n" ); document.write( "Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now?
\n" ); document.write( ":
\n" ); document.write( "Let x = B's age now
\n" ); document.write( "Let y = S's age now
\n" ); document.write( ":
\n" ); document.write( "Write an equation for the statement,\"Barry is 8 years older than his sister.\"
\n" ); document.write( "x = y + 8
\n" ); document.write( "or
\n" ); document.write( "x - y = 8
\n" ); document.write( ":
\n" ); document.write( "The same for this statement,\" In 3 years, he will be twice as old as she will be then.
\n" ); document.write( "(x+3) = 2(y+3)
\n" ); document.write( "x + 3 = 2y + 6
\n" ); document.write( "x = 2y + 6 - 3
\n" ); document.write( "x = 2y + 3
\n" ); document.write( "x - 2y = 3
\n" ); document.write( ":
\n" ); document.write( "The system, two equations two variables
\n" ); document.write( "x - y = 8
\n" ); document.write( "x - 2y = 3
\n" ); document.write( "------------ subtracting eliminates x
\n" ); document.write( "0 + y = 5 yrs is sister's age now
\n" ); document.write( ":
\n" ); document.write( "I'll let you find Barry's age \n" ); document.write( "
\n" );