document.write( "Question 501985: Find three consecutive integers that solve this:
\n" ); document.write( "5x=2y+(7+z) \n" ); document.write( "

Algebra.Com's Answer #338735 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
x, y, and z are 3 are three consecutive integers.
\n" ); document.write( ".
\n" ); document.write( "They can be defined as:
\n" ); document.write( "x
\n" ); document.write( "x+1
\n" ); document.write( "x+2
\n" ); document.write( ".
\n" ); document.write( "BUT, we don't know if that is the x, y, z order or not.
\n" ); document.write( "The three integers could be z, y, x. Or z, x, y. Or y, x, z...
\n" ); document.write( ".
\n" ); document.write( "Assuming x, y, z order:
\n" ); document.write( ".
\n" ); document.write( "5x = 2y + (7+z)
\n" ); document.write( "5x = 2(x+1) + (7 + x +2)
\n" ); document.write( "5x = 2x +2 + 7 + x + 2
\n" ); document.write( "5x = 3x + 11
\n" ); document.write( "2x = 11
\n" ); document.write( "x = 11/2
\n" ); document.write( ".
\n" ); document.write( "That is not an integer.
\n" ); document.write( ".
\n" ); document.write( "Assuming x=5
\n" ); document.write( "5x = 25
\n" ); document.write( "2*6 + 7+7 = 26
\n" ); document.write( ".
\n" ); document.write( "Assuming x=6
\n" ); document.write( "5x = 30
\n" ); document.write( "2*7 +7+8 =29
\n" ); document.write( ".
\n" ); document.write( "Are you sure that is the equation?
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

\n" );