document.write( "Question 214067: I really need some help, my daughter has been trying to solve this problem for 2 days.\r
\n" ); document.write( "\n" ); document.write( "One number is 4 less than 5 times another. If the sum is 26, what are the two numbers?
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Algebra.Com's Answer #161684 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
This is a problem of 2 equations with two unknowns.
\n" ); document.write( "Let x be one number
\n" ); document.write( "Let y be the other number
\n" ); document.write( "From the information given, you can write:
\n" ); document.write( "Equation #1: \"x=5y-4\"
\n" ); document.write( "and:
\n" ); document.write( "Equation #2: \"x%2By=26\"
\n" ); document.write( "----------------
\n" ); document.write( "Substitute the expression for x from Equation #1 into Equation #2:
\n" ); document.write( "\"5y-4%2By=26\"
\n" ); document.write( "Solve for y:
\n" ); document.write( "\"6y-4=26\"
\n" ); document.write( "\"6y=30\"
\n" ); document.write( "\"highlight%28y=5%29\"
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute this value for y into Equation #2:
\n" ); document.write( "\"x%2B5=26\"
\n" ); document.write( "Solve for x:
\n" ); document.write( "\"highlight%28x=21%29\"
\n" ); document.write( "-----------------
\n" ); document.write( "Check these answers by substituting the values we got for x and y back into each equation and be sure the equation holds true.
\n" ); document.write( "\"5%285%29-4%2B5=26\"
\n" ); document.write( "\"25%2B1=26\"
\n" ); document.write( "\"26=26\" <--- True!
\n" ); document.write( "-----------------
\n" ); document.write( "\"5%2B21=26\"
\n" ); document.write( "\"26=26\" <--- True Again!
\n" ); document.write( "================
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com
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