document.write( "Question 329179: Solve each system by substitution\r
\n" ); document.write( "\n" ); document.write( "x/6 + y/10= 3\r
\n" ); document.write( "\n" ); document.write( "5x/16 - 3y/16= 15/8\r
\n" ); document.write( "\n" ); document.write( "/ are fractions. Sorry.\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 12,10. Can you show me how to get that?
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Algebra.Com's Answer #235886 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve each system by substitution
\n" ); document.write( "\"x%2F6+%2B+y%2F10+=+3\"
\n" ); document.write( ":
\n" ); document.write( "\"%285x%29%2F16+-+%283y%29%2F16+=+15%2F8\"
\n" ); document.write( ":
\n" ); document.write( "Get rid of those annoying fractions
\n" ); document.write( ":
\n" ); document.write( "Mult 1st equation by 30, results:
\n" ); document.write( "5x + 3y = 90
\n" ); document.write( "3y = 90 - 5x
\n" ); document.write( "divide thru by 3
\n" ); document.write( "y = 30 - \"5%2F3\"x; use this for substitution
\n" ); document.write( ":
\n" ); document.write( "Mult 2nd equation by 16, results
\n" ); document.write( "5x - 3y = 2(15)
\n" ); document.write( "5x - 3y = 30
\n" ); document.write( "Substitute for y
\n" ); document.write( "5x - 3(30 - \"5%2F3\"x) = 30
\n" ); document.write( "5x - 90 + 5x = 30
\n" ); document.write( "5x + 5x = 30 + 90
\n" ); document.write( "10x = 120
\n" ); document.write( "x = 12
\n" ); document.write( ":
\n" ); document.write( "Find y using eq: 5x - 3y = 30; replace x with 12
\n" ); document.write( "5(12) - 3y = 30
\n" ); document.write( "60 - 3y = 30
\n" ); document.write( "-3y = 30 - 60
\n" ); document.write( "-3y = -30
\n" ); document.write( "y = +10
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the first original equation
\n" ); document.write( "\"x%2F6+%2B+y%2F10+=+3\"
\n" ); document.write( "\"12%2F6+%2B+10%2F10+=+3\"
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