SOLUTION: Solve the following system. x2 + y 2= 25 2x + y = 10 The solution set {(-, ), (, )}.

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Question 300288: Solve the following system.
x2 + y 2= 25
2x + y = 10
The solution set {(-, ), (, )}.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
The solution to this system solves the intersection of a circle and a line.

.
.
.
1.
2.
From eq. 2,



Substitute into eq. 1,





Factor,

Two solutions:


Then using eq. 2,



(3,4)
.
.
.




(5,0)
The solution is verified by the previous graph.

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