document.write( "Question 173838: how do you solve and check the following problems using the substition method?
\n" ); document.write( "y=5x
\n" ); document.write( "2x+y=28 \n" ); document.write( "

Algebra.Com's Answer #128714 by Fombitz(32388) $\"\"$ $\"About$

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1. $\"y=5x\"$
\n" ); document.write( "2. $\"2x%2By=28\"$
\n" ); document.write( "Directly substitute eq. 1 into eq. 2,
\n" ); document.write( " 2. $\"2x%2By=28\"$
\n" ); document.write( " $\"2x%2B%285x%29=28\"$
\n" ); document.write( " $\"7x=28\"$
\n" ); document.write( " $\"x=4\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( "1. $\"y=5x\"$
\n" ); document.write( " $\"y=5%284%29\"$
\n" ); document.write( " $\"y=20\"$
\n" ); document.write( "The solution is x=4, y=20.
\n" ); document.write( "To check the solution, plug the solution into the equations.
\n" ); document.write( "1. $\"y=5x\"$
\n" ); document.write( " $\"20=4%285%29\"$
\n" ); document.write( " $\"20=20\"$
\n" ); document.write( "True.
\n" ); document.write( " 2. $\"2x%2By=28\"$
\n" ); document.write( " $\"2%284%29%2B20=28\"$
\n" ); document.write( " $\"8%2B20=28\"$
\n" ); document.write( " $\"28=28\"$
\n" ); document.write( "True.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "The solutions led to true statements.
\n" ); document.write( "They are good solutions.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "x=4
\n" ); document.write( "y=20 \n" ); document.write( "

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