document.write( "Question 554919: The larger of two numbers is 10 less than twice the smaller. If half the larger is increased by 4 times the smaller, the result is 50. Please help . \n" ); document.write( "
Algebra.Com's Answer #361764 by ankor@dixie-net.com(22740)\"\" \"About 
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The larger of two numbers is 10 less than twice the smaller. If half the larger is increased by 4 times the smaller, the result is 50.
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\n" ); document.write( "Let x = the large number
\n" ); document.write( "let y = the smaller
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"The larger of two numbers is 10 less than twice the smaller.\"
\n" ); document.write( "x = 2y - 10
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\n" ); document.write( "\"If half the larger is increased by 4 times the smaller, the result is 50.\"
\n" ); document.write( ".5x + 4y = 50
\n" ); document.write( "From the 1st statement; replace x with (2y-10)
\n" ); document.write( ".5(2y - 10) + 4y = 50
\n" ); document.write( "y - 5 + 4y = 50
\n" ); document.write( "5y = 50 + 5
\n" ); document.write( "5y = 55
\n" ); document.write( "y = 55/5
\n" ); document.write( "y = 11
\n" ); document.write( "find x
\n" ); document.write( "x = 2y - 10
\n" ); document.write( "x = 2(11) - 10
\n" ); document.write( "x = 22 - 10
\n" ); document.write( "x = 12
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\n" ); document.write( "Check our solution in the 2nd statement:
\n" ); document.write( "\" If half the larger is increased by 4 times the smaller, the result is 50.\"
\n" ); document.write( ".5(12) + 4(11) =
\n" ); document.write( "6 + 44 = 50, confirms our solutions of x=12, y=11 \n" ); document.write( "
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