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+1
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solve:

5x - y =5

2y - x^2 = 11

 

(non-calculator question) 

 Apr 29, 2018
 #1
avatar+983 
+2

Adding y and subtracting 5 to both sides on the top equation, we have:

 

y = 5x - 5 

 

Substituting y = 5x - 5 into the bottom equation, we have:

 

10x - 10 - x^2 = 11

 

x^2 -10x + 21 = 0.

 

Factoring:

 

( x - 3 ) ( x - 7 ) = 0

 

x = 3, x = 7

 

Solving for y, we have: y = 30, y = 10.

 

You can also graph the functions on desmos.com and then find the intersection points. 

 

I hope this helped, 

 

Gavin.

 Apr 29, 2018
 #2
avatar+4622 
+1

Perfect, Gavin! smileysmiley

tertre  Apr 29, 2018

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