Question

What is one of the solutions to the following system of equations?

x^2 + y^2 = 25
y − 3x = −5

a
(−3, 4)

b
(4, −3)

c
(3, 4)

d
(−4, 3)

Answer 1

c. [3;4].

Explanation:

if to substitute the given coordinates into the 2d equation(✔) and check the equality, then

(-3;4): 4+9=13≠-5;

(4;-3): -3-12=-15≠-5;

(3;4): 4-9=-5 (correct!);

(-4;3): 3+12=15≠-5.

(✔)
`(б3)^2+(б4)^2=25.`

Answer 2

The answer is C (3,4)