What is one of the solutions to the following system of equations?
2 answers:
Answer:
(8,-1)
Step-by-step explanation:
Given : 

To Find: solution of given system of equations.
Solution:
Equation a : 
Equation b : 
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:







⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒ 
for x = -1
⇒ 
⇒ 
⇒ 
Thus (x,y)=(-1,8)
For x =8
⇒ 
⇒ 
⇒ 
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .
That would be A
check...(8,-1)
y^2 + x^2 = 65
-1^2 + 8^2 = 65
1 + 64 = 65
65 = 65 (correct)
y + x = 7....(8,-1)
-1 + 8 = 7
7 = 7 (correct)
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