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  
 
-2
101
1
avatar+229 

solve the system of equations and enter the solution as an ordered pair.

 

7x-3y+5=16

4y=3x+17

 Mar 6, 2019
edited by raziel305  Mar 6, 2019
edited by raziel305  Mar 6, 2019
 #1
avatar+103948 
+2

7x-3y+5=16   ⇒  7x - 3y  = 11       (1)

4y=3x+17   ⇒     -3x + 4y  = 17     (2)

 

Multiply the first equation through by 4  and the second through by 3....and we have

 

28x -12y  = 44

-9x + 12y  = 51       add these

 

19x  = 95     divide both sides by  19

 

x = 5

 

And using (1)  we can find y 

 

7(5) - 3y = 11

35 - 3y = 11        add 3y to both sides and subtract 11 from both sides

 

24 = 3y      divide both sides by 3

 

8 = y

 

So

(x , y) = ( 5, 8)

 

 

cool cool cool

 Mar 6, 2019

11 Online Users

avatar