Date: Tue, 24 Nov 1998 17:49:31 -0600 (CST) To: QandQ@MathCentral.uregina.ca Subject: algebra 1 Name: casey Who is asking: Parent Level: Secondary Question: yeah my son brought home a math worksheet and he was wondering and me too if u could help him and me out . he has problems like this 4n+9=7n+2= ??? and he has to show work so if u could help us out that would be great Hi Casey 4n + 9 = 7n + 2 =  ??? This is an interesting problem. I would do the original problem in 2 parts. I would first solve the equation 4n + 9 = 7n + 2. This means that I need to determine the value of "n"" that will make 4n + 9 have the same value as 7n + 2. 4n + 9 = 7n + 2 and so, subtracting 4n from both sides, 4n + 9 - 4n = 7n + 2 - 4n which means 9 = 3n + 2. Now subtracting 2 from both sides I get 9 - 2 = 3n + 2 - 2, which is 7= 3n and so 7/3 = 3n/3, in other words 7/3 = n. Now we can do the final part. When n = 7/3, 4n + 9 = 4(7/3) + 9 = 28/3 + 9 = 28/3 + 27/3 = 55/3. But n = 7/3 is tha value of n that makes 4n + 9 = 7n + 2, so when n = 7/3, 7n + 2 = 55/3 also. As a check you can evaluate 7n + 2 when n = 7/3 to ensure that you get 55/3. Cheers, Jack

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