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
198
1
avatar+701 

What is the solution to the system of equations 

 

𝑥 − 2𝑦 = 19, 𝑥 + 3𝑦 = 14

 Nov 5, 2018
 #1
avatar+100439 
+2

x - 2y  = 19     ⇒  x   =  19 + 2y      (1)

x + 3y  = 14    (2)

 

Sub (1) into (2)  for x  and we have

 

[ 19 + 2y ]  + 3y  = 14

19 + 5y  = 14    subtract 19 from both sides

5y = - 5    divide both sides by 5

y = - 1

 

And using (1) we have that

x = 19 + 2(-1)  =  19 - 2  =  17

 

So

 

(x, y)   =  ( 17, - 1)

 

 

cool cool cool

 Nov 5, 2018

28 Online Users

avatar