document.write( "Question 469800: solve by substitution method\r
\n" ); document.write( "\n" ); document.write( "5x+8y=5
\n" ); document.write( "3x-8y=-61 \n" ); document.write( "

Algebra.Com's Answer #322284 by Tatiana_Stebko(1539) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"system%285x%2B8y=5%2C3x-8y=-61%29\"$
\n" ); document.write( "From the first equation $\"8y=5-5x\"$ substitute into the second equation
\n" ); document.write( " $\"system%288y=5-5x%2C3x-%285-5x%29=-61%29\"$
\n" ); document.write( " $\"3x-5%2B5x=-61\"$
\n" ); document.write( " $\"8x=-61%2B5\"$
\n" ); document.write( " $\"8x=-56\"$
\n" ); document.write( " $\"x=-56%2F8\"$
\n" ); document.write( " $\"x=-7\"$
\n" ); document.write( "Substitute $\"x=-7\"$ into the first equation
\n" ); document.write( " $\"8y=5-5%2A%28-7%29\"$
\n" ); document.write( " $\"8y=40\"$
\n" ); document.write( " $\"y=40%2F8\"$
\n" ); document.write( " $\"y=5\"$
\n" ); document.write( "Answer: (-7,5)
\n" ); document.write( "Check
\n" ); document.write( " $\"system%285%2A%28-7%29%2B8%2A5=5%2C3%2A%28-7%29-8%2A5=-61%29\"$
\n" ); document.write( " $\"system%285=5%2C-61=-61%29\"$ -correct \n" ); document.write( "

\n" );