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 Algebra Pre-Algebra and Basic Algebra Math Forum

 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  Tags equations, system 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 alenov Algebra 4 May 17th, 2013 05:09 AM ZeusTheMunja Linear Algebra 20 January 25th, 2013 05:52 AM wyckedjester Algebra 4 October 22nd, 2012 04:31 AM Pell's fish Number Theory 1 March 26th, 2012 05:18 AM outsos Abstract Algebra 22 June 1st, 2010 11:45 AM

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