document.write( "Question 1009471: the sum of two numbers is seven less than five times the smaller number. twice the larger number is one more than thrice the smaller number. find the numbers
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Algebra.Com's Answer #624940 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there.
\n" ); document.write( "the sum of two numbers is seven less
\n" ); document.write( "than five times the smaller number.
\n" ); document.write( "x + y = 5(x) - 7
\n" ); document.write( "x + y = 5x - 7
\n" ); document.write( "x - 5x + y = -7
\n" ); document.write( "-4x + y = -7........(1)
\n" ); document.write( "Twice the larger number is one more
\n" ); document.write( "than thrice the smaller number.
\n" ); document.write( "2(y) = 1 + 3(x)
\n" ); document.write( "2y = 1 + 3x
\n" ); document.write( "-3x + 2y = 1........(2)
\n" ); document.write( "...............
\n" ); document.write( "-4x + y = -7........(1)
\n" ); document.write( "-3x + 2y = 1........(2)
\n" ); document.write( "Multiply Eq(1) by -2
\n" ); document.write( "8x - 2y = 14........(1)
\n" ); document.write( "-3x + 2y = 1........(2)
\n" ); document.write( "Add Eqs(1) + (2)
\n" ); document.write( "5x .....= 15
\n" ); document.write( "x.......= 3
\n" ); document.write( "Substitute x = 3 into
\n" ); document.write( "Equation (1)
\n" ); document.write( "-4x + y = -7
\n" ); document.write( "-4(3) + y = -7
\n" ); document.write( "-12 + y = -7
\n" ); document.write( "y = -7 + 12
\n" ); document.write( "y = 5
\n" ); document.write( "Two numbers are: 3 and 5
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "
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