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 June 18th, 2012, 11:35 PM #1 Newbie   Joined: Jun 2012 Posts: 20 Thanks: 0 Translating Equations Translate into an equation and solve. (Use n to represent the smaller number.) The sum of two numbers is nine. Seven less than three times the smaller is equal to the larger. Find the numbers. :(smaller number) :(larger number) Struggling a little bit with this. So I got x+x=9 3x-7=? Completely lost, its also asking me to find the smaller and larger number... Help June 18th, 2012, 11:41 PM #2 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Translating Equations If we use n to represent the smaller number and m to represent the larger, then from the given information, we have: (1) We can rewrite the second equation as: (2) Now, adding (1) and (2), we find: Solving (1) for m we then find: June 19th, 2012, 12:05 AM #3 Newbie   Joined: Jun 2012 Posts: 20 Thanks: 0 Re: Translating Equations Thanks Mark, you explained it way better than my book did. I wrote down your example to study for my test. June 19th, 2012, 12:13 AM #4 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Translating Equations For most students, the difficulty is translating the given statements into equations. Once you have the correct equations, then its usually just a matter of elimination or substitution to find the solution. June 19th, 2012, 12:14 AM   #5
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Re: Translating Equations

Quote:
 Originally Posted by IDoNotLikeMath Thanks Mark, you explained it way better than my book did. I wrote down your example to study for my test.
Mark and someone outta there is always the book  June 19th, 2012, 12:25 AM #6 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Translating Equations It is easier to give an explanation for one problem, then for an entire set of exercises.  June 19th, 2012, 07:17 PM #7 Newbie   Joined: Jun 2012 Posts: 20 Thanks: 0 Re: Translating Equations Getting the hang of translating, although I'm stuck on this problem: Find two consecutive even integers such that six times the first integer equals three times the second integer. Find the smallest integer and largest integer. Equation I came up with is 6x= 3(x+2) 6x= 3x+6 3x= 6 x=2 So now I substituted my 2 back 2+2= 4 2+4= 6 Now my smallest integer is 2. My largest is 6. But when I enter this in my homework it says I'm wrong; am I missing something? June 19th, 2012, 07:19 PM #8 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Translating Equations You set up the equation correctly and solved correctly. x represents the smaller, which is 2 and x + 2 is the larger which is 4. Tags equations, translating Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post pixieluna Applied Math 4 October 24th, 2015 05:13 PM yogazen2013 Algebra 4 October 7th, 2013 06:53 AM flyjoe Real Analysis 0 February 12th, 2013 05:17 PM Sebastian Garth Applied Math 2 September 17th, 2011 11:15 AM yogazen2013 Calculus 0 December 31st, 1969 04:00 PM

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