document.write( "Question 157467: The sum of two numbers is 10.Three times one of them is more than four times the second by 2. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #116036 by nerdybill(7384)\"\" \"About 
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The sum of two numbers is 10.Three times one of them is more than four times the second by 2. Find the numbers.
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\n" ); document.write( "Let x = one number
\n" ); document.write( "and y = second number
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\n" ); document.write( "Since we have two unknowns, we'll need two equations.
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\n" ); document.write( "From: \"The sum of two numbers is 10\" we get:
\n" ); document.write( "x + y = 10 (equation 1)
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\n" ); document.write( "From: \"Three times one of them is more than four times the second by 2\" we get:
\n" ); document.write( "3x = 4y+2 (equation 2)
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\n" ); document.write( "Solve equation 1 for y:
\n" ); document.write( "x + y = 10
\n" ); document.write( "y = 10 - x
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\n" ); document.write( "Plug the above into equation 2 and solve for x:
\n" ); document.write( "3x = 4y+2
\n" ); document.write( "3x = 4(10 - x)+2
\n" ); document.write( "3x = 40 - 4x + 2
\n" ); document.write( "7x = 40 + 2
\n" ); document.write( "7x = 42
\n" ); document.write( "x = 6
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\n" ); document.write( "Plug the above into equation 1 and solve for y:
\n" ); document.write( "x + y = 10
\n" ); document.write( "6 + y = 10
\n" ); document.write( "y = 4
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\n" ); document.write( "Solution: the two numbers are 4 and 6 \n" ); document.write( "
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