+0  
 
0
146
2
avatar+588 

Solve the system of equations. Show your work.

y = x- 3x + 4 

x + y = 4

 

Answer:

adore.nuk  Feb 27, 2018
 #1
avatar+92367 
+2

y = x^2 -3x + 4      (1)

x + y  = 4  ⇒   y  = 4 - x    (2)

 

Sub (2)  into (1)

 

4 - x  =  x^2  - 3x + 4       subtract 4 from both sides

 

-x = x^2 - 3x       add x to both sides

 

x^2 - 2x  = 0   factor

 

x( x - 2)  =  0

 

Set each factor to 0 and solve for x and we get that

 

x =  0   or x  = 2

 

When x = 0.....y  =  4 - 0  =    4      ⇒   (0, 4)

 

When x  =  2.....y  =  4 -  2   =  2  ⇒    (2 , 2)

 

 

cool cool cool

CPhill  Feb 27, 2018
 #2
avatar+588 
+1

thank you so much!

adore.nuk  Feb 27, 2018

10 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.