document.write( "Question 512072: Not sure how to solve this problem on my daughters homework. I would like to understand so I can attempt to explain it to her. Here it is.. The difference of two numbers is 8. The first number x is 1 less than twice the second number y. Write and solve a system of linear equations to find the two numbers \n" ); document.write( "
Algebra.Com's Answer #342521 by stanbon(75887)\"\" \"About 
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The difference of two numbers is 8. The first number x is 1 less than twice the second number y. Write and solve a system of linear equations to find the two numbers
\n" ); document.write( "-----
\n" ); document.write( "Equations:
\n" ); document.write( "x - y = 8
\n" ); document.write( "x = 2y -1
\n" ); document.write( "----
\n" ); document.write( "Substitute the expression for \"x\" into the 1st equation.
\n" ); document.write( "Then solve for \"y\":
\n" ); document.write( "(2y-1) - y = 8
\n" ); document.write( "2y-y-1 = 8
\n" ); document.write( "y - 1 = 8
\n" ); document.write( "y = 9
\n" ); document.write( "-----------------
\n" ); document.write( "Now, solve for \"x\":
\n" ); document.write( "x = 2y-1
\n" ); document.write( "x = 2*9-1
\n" ); document.write( "x = 18-1 = 17
\n" ); document.write( "==================
\n" ); document.write( "Solution: x = 17 ; y = 9
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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