document.write( "Question 487670: I'm trying to solve an algebra problem and the examples in the book are very confusing.
\n" ); document.write( "I need to use the substitution method.\r
\n" ); document.write( "\n" ); document.write( "x-y=5
\n" ); document.write( "x+2y=7\r
\n" ); document.write( "\n" ); document.write( "If you could just show me the work to reach the solution, I think I can do the rest of the problem?
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Algebra.Com's Answer #333100 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
use the substitution method.
\n" ); document.write( "x - y = 5
\n" ); document.write( "x + 2y = 7
\n" ); document.write( "Choose which equation you are going to use to substitute, we will choose the 1st one
\n" ); document.write( "x - y = 5
\n" ); document.write( "add y to both sides
\n" ); document.write( "x = (y + 5)
\n" ); document.write( ":
\n" ); document.write( "now on the 2nd equation we can substitute (y+5) for x
\n" ); document.write( "x + 2y = 7
\n" ); document.write( "substitute
\n" ); document.write( "(y+5) + 2y = 7
\n" ); document.write( "subtract 5 from both sides
\n" ); document.write( "y + 2y = 7 - 5
\n" ); document.write( "3y = 2
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "y = \"2%2F3\"
\n" ); document.write( ":
\n" ); document.write( "Find x:
\n" ); document.write( "we know that x = y + 5
\n" ); document.write( "x = \"2%2F3\" + 5
\n" ); document.write( "x = 5\"2%2F3\"
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "x + 2y = 7
\n" ); document.write( "5\"2%2F3\" + 2(\"2%2F3\") = 7
\n" ); document.write( "5\"2%2F3\" + \"4%2F3\" = 7
\n" ); document.write( "5\"2%2F3\" + 1\"1%2F3\" = 7; confirms our solution\r
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