SOLUTION: I am trying to figure out a math practice problem for the PSAT. The question is below: 5(k+2)-7 = 13-(4-k) -------- --------- 6 9 In the equation above, wha

Algebra ->  Equations -> SOLUTION: I am trying to figure out a math practice problem for the PSAT. The question is below: 5(k+2)-7 = 13-(4-k) -------- --------- 6 9 In the equation above, wha      Log On


   



Question 1193181: I am trying to figure out a math practice problem for the PSAT. The question is below:
5(k+2)-7 = 13-(4-k)
-------- ---------
6 9
In the equation above, what is the value of k?
1). 9 2). 9 3). 33 4). 33
--- --- ---- ---
17 13 17 13

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Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


%285%28k%2B2%29-7%29%2F6=%2813-%284-k%29%29%2F9

Multiply by the least common denominator, 18, to clear fractions; then solve.

3%285%28k%2B2%29-7%29=2%2813-%284-k%29%29
3%285k%2B3%29=2%28k%2B9%29
15k%2B9=2k%2B18
13k=9
k=9%2F13

ANSWER: 9/13