Question 4 (06.02)
What is one of the solutions to the following system of equations?
y² + x²= 65
y + x = 7
a (8, -1)
b (1,6)
С (6, 1)
d (9,-2)

(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 .

c

step-by-step explanation: