document.write( "Question 118542: A poster in the shape of a triangle has one side that is five inches more the length of the shortest side, and another side that is three inches less than twice the shortest side. Find the dimensions of the poster if its perimeter is 42 inches \n" ); document.write( "
Algebra.Com's Answer #86668 by tutor_paul(519)\"\" \"About 
You can put this solution on YOUR website!
Let x, y and z be the three sides. From the information given, you know:\r
\n" ); document.write( "\n" ); document.write( "Equation#1: y=x+5
\n" ); document.write( "Equation#2: z=2x-3
\n" ); document.write( "Equation#3: x+y+z=42\r
\n" ); document.write( "\n" ); document.write( "You have three equations and three unknowns. Anytime you have at least as many equations as you have unknowns, you can solve the problem!\r
\n" ); document.write( "\n" ); document.write( "Use substitution methods like this to do it:
\n" ); document.write( "First, substitute the expressions for x and y in Equations #1 and #2 into Equation #3. You get:
\n" ); document.write( "\"x%2Bx%2B5%2B2x-3=42\"
\n" ); document.write( "Solve for x:
\n" ); document.write( "\"4x%2B2=42\"
\n" ); document.write( "\"4x=40\"
\n" ); document.write( "\"highlight%28x=10%29\"
\n" ); document.write( "So you have one side... plug this value of x into Equations #1 and Equation #2, solve for y and z respectively, and you are done. I will leave that part to you.
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\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com
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