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 February 8th, 2015, 02:43 PM #1 Newbie   Joined: Feb 2015 From: Brazil Posts: 3 Thanks: 0 System of Equations Hello, my name is Gabriel and I'm from Brazil. This was one of the questions of my entrance test this year, which I take so I can attend a university, just like the SAT in the US. My math teacher couldn't solve it, neither could I. I used the TI-nspire CX CAS calculator to find the asnwer. May you try to solve it, please? Thank you! http://postimg.org/image/7vt9cd4dd/
 February 8th, 2015, 03:10 PM #2 Math Team     Joined: Jul 2011 From: Texas Posts: 3,002 Thanks: 1588 add 1st & 3rd equations ... $\displaystyle |2x-1| + \left|x - \frac{1}{2} \right| + 2^{y+1} = 11$ multiply by 2 ... $\displaystyle 2|2x-1| + |2x - 1| + 2^{y+2} = 22$ $\displaystyle 3|2x-1|+ 2^{y+2} = 22$ subtract the 2nd equation ... $\displaystyle 2^{y+1} = 8$ $\displaystyle y = 2$ substitute $\displaystyle y = 2$ into the 2nd equation ... $\displaystyle 3|2x-1| + 8 = 14$ $\displaystyle x = \frac{3}{2} ; x = -\frac{1}{2}$ you should be able to determine z from this point ... Thanks from gabemreis
 February 8th, 2015, 03:26 PM #3 Newbie   Joined: Feb 2015 From: Brazil Posts: 3 Thanks: 0 It looks so simple now! Haha. Thank you very much

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