document.write( "Question 243719: Solve using the substitution method.\r
\n" ); document.write( "\n" ); document.write( "y = 2x - 5
\n" ); document.write( "3x + y = 15
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Algebra.Com's Answer #178523 by unlockmath(1688)\"\" \"About 
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Hello,
\n" ); document.write( "Let's first set both equations up so they have the variables on one side.
\n" ); document.write( "In the first equation subtract 2x from both sides so it will look like:
\n" ); document.write( "-2x + y = - 5
\n" ); document.write( "3x + y = 15
\n" ); document.write( "OK, Now let's multiply the first equation by -1 to give us:
\n" ); document.write( "+2x - y = + 5
\n" ); document.write( "3x + y = 15
\n" ); document.write( "With this we can add both equations to be:
\n" ); document.write( "5x=20 Divide both sides by 5:
\n" ); document.write( "x=4
\n" ); document.write( "Now in the original equation replace x with 4:
\n" ); document.write( "y = 2(4) - 5 Do the calculation gives us:
\n" ); document.write( "y=3
\n" ); document.write( "We now have x=4 and y=3. Plug these into both equations to see if they work.
\n" ); document.write( "RJ Toftness
\n" ); document.write( "www.math-unlock.com
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