document.write( "Question 489031: I need help on solving a proportion problem. Could you help me by showing me step by step. 3r-2 all over r = 7 over 8 \n" ); document.write( "
Algebra.Com's Answer #333521 by Theo(13342)\"\" \"About 
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you have:
\n" ); document.write( "(3r-2) / r = 7/8
\n" ); document.write( "multiply both sides of this equation by r to get:
\n" ); document.write( "(3r-2) = r * (7/8)
\n" ); document.write( "multiply both sides of this equation by 8 to get:
\n" ); document.write( "8 * (3r - 2) = r * 7
\n" ); document.write( "simplify this equation to get:
\n" ); document.write( "24r - 16 = 7r
\n" ); document.write( "add 16 to both sides of this equation and subtract 7r from both sides of this equation to get:
\n" ); document.write( "24r - 7r = 16
\n" ); document.write( "simplify to get:
\n" ); document.write( "17r = 16
\n" ); document.write( "divide both sides of this equation by 17 to get:
\n" ); document.write( "r = 16/17
\n" ); document.write( "substitute 16/17 for r in your original equation to see if the equation holds true.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your original equation is:
\n" ); document.write( "(3r-2) / r = 7/8
\n" ); document.write( "substitute for r to get:
\n" ); document.write( "(3 * (16/17) - 2) / (16/17) = 7/8
\n" ); document.write( "multiply both sides of this equation by (16/17) to get:
\n" ); document.write( "(3 * (16/17) - 2) = (7/8) * (16/17)
\n" ); document.write( "simplify this equation to get:
\n" ); document.write( "(48/17 - 2) = (112/136)
\n" ); document.write( "simplify further to get:
\n" ); document.write( "(48/17 - 34/17) = (112/136)
\n" ); document.write( "simplify further to get:
\n" ); document.write( "(14/17) = (112/136)
\n" ); document.write( "112/136 is equivalent to 14/17 so you get:
\n" ); document.write( "(14/17) = (14/17) which is true, confirming the value of (16/17) for r is good.
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