Question

Determine a relationship between the x and y values, write an equation (0,1) (1,2) (2,5) (3,10) (4,17)

Answer 1

Determine a relationship between the x and y values, write an equation (0,1) (1,2) (2,5) (3,10) (4,17)

Answer 2

(3,10) and (-1,2) (Plato/Edmentum)

Explanation:

In the second equation, the variable y is not isolated, so it’s probably easiest to use substitution here. Substitute the right side of the first equation into the second equation:

(x2 + 1) − 2x = 4

x2 − 2x + 1 − 4 = 0

x2 − 2x − 3 = 0

(x − 3)(x + 1) = 0

x = 3 or x = -1

Substitute these values back into the system to solve for y:

y = (3)2 + 1 = 10

y = (-1)2 + 1 = 2

So, the coordinate pairs (3,10) and (-1,2) are solutions to the system.