document.write( "Question 153405: Solve the equation |y-6|+2y=9
\n" ); document.write( "So far, I have:
\n" ); document.write( "y-6=-(9-2y)
\n" ); document.write( "y-6=-9+2y
\n" ); document.write( "-y=-3
\n" ); document.write( "y=3
\n" ); document.write( "I tested that, and it is correct. Am I on the right track, and/or is there another answer? How do I find this additional answer?
\n" ); document.write( "Also - Graph the equation y=|x+4| + |3-x|
\n" ); document.write( "I know how to graph, but I am not quite sure how to start off. Many thanks if you can simplify it.
\n" ); document.write( "

Algebra.Com's Answer #112918 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve the equation |y-6|+2y=9
\n" ); document.write( "Rearrange:
\n" ); document.write( "|y-6| = 9-2y
\n" ); document.write( "y-6 = 9-2y or y-6 = -(9-2y)= 2y-9
\n" ); document.write( "3y = 15 or y = 3
\n" ); document.write( "y = 5 or y = 3
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\n" ); document.write( "Testing:
\n" ); document.write( "Does y = 5 ?
\n" ); document.write( "|5-6| + 2*5 = 9
\n" ); document.write( "1+10 = 9
\n" ); document.write( "False; so y=5 is not a solution.
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\n" ); document.write( "Testing:
\n" ); document.write( "Does y = 3 ?
\n" ); document.write( "|3-6| + 2*3 = 9
\n" ); document.write( "3 + 6 = 9
\n" ); document.write( "True ; so y=3 is the only solution.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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