We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
521
1
avatar

Find the ordered triple $(x,y,z)$ that satisfies the following system: \begin{align*} x-2y&=0\\ y-2z&=0\\ x+z&=5. \end{align*}

 Oct 29, 2017
 #1
avatar+99580 
+2

 

x - 2y  = 0     ⇒  x  = 2y       (1)

y - 2z  = 0    ⇒   y  =  2z  ⇒   y/2  =  z    (2)

x + z  =  5       (3)

 

Put (1)  and (2)  into  (3)

 

2y  +  y/2  =  5     multiply through by 2

 

4y  +  y  =  10

 

5y  =  10       ⇒   y  =  2

 

So   x  =  2y   =   4          and    z  =  y/2  =  1

 

 

cool cool cool

 Oct 29, 2017

26 Online Users

avatar