document.write( "Question 310692: The first of two numbers added to two times the second equals9. The first number decreased by the second equals 3. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #222179 by texttutoring(324) $\"\"$ $\"About$

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Let x = the first number
\n" ); document.write( "Let y = the second number\r
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\n" ); document.write( "\n" ); document.write( "use the given information to come up with 2 equations:\r
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\n" ); document.write( "\n" ); document.write( "Equation 1: x + 2y = 9
\n" ); document.write( "Equation 2: x - y = 3\r
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\n" ); document.write( "\n" ); document.write( "Rearrange Equation 2 so that it is isolated for x:\r
\n" ); document.write( "\n" ); document.write( "x = 3+y\r
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\n" ); document.write( "\n" ); document.write( "Plug this value into equation 1, instead of x:\r
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\n" ); document.write( "\n" ); document.write( "(3+y) + 2y = 9
\n" ); document.write( "3 + 3y = 9
\n" ); document.write( "3y = 6
\n" ); document.write( "y=2\r
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\n" ); document.write( "\n" ); document.write( "From equation 2, we know that x = 3+y\r
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\n" ); document.write( "\n" ); document.write( "x=3+2
\n" ); document.write( "x=5\r
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\n" ); document.write( "\n" ); document.write( "The two numbers are 5 and 2. \n" ); document.write( "

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