Choose the solution(s) of the following system of equations:
x2 + y2 = 6
x2 – y = 6

I think this is the answer X = 3 + 1/2y

Answer with explanation:

The system of equation are

1. → x²+y²=6

2. →x² -y=6

Subtracting Equation (2) from equation (1)

→ x²+y² -(x² -y)=6-6

 →y²+y=0

→ y × (y+1)=0

→ y=0 ∧ y+1=0

→ y=0 ∧ y = -1

y=0 gives means,by substituting value of y in equation 2,

→ x² -0=6

→ x²=6

→ x =√6 ∧ x= -√6

Solution Set is =(√6, 0) ,(-√6, 0)

y= -1 gives

→ x² - (-1)=6

→ x²=6 -1

→ x²=5

→x = √5, ∧ x= -√5

Solution Set is =(√6, 0) ,(-√6, 0), (√5, 0) ,(-√5, 0)

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

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