Question

Solve the system of equations.

y = 4x
y = x² +3
O A. (1,4) and (3, 12)
O B. (-3,-12) and (-1,-4)
OC. (0, 3) and (1,4)
OD. (-1,-4) and (3, 12)
SUBMIT

Answer 1

A. (1, 3) and (3, 12).

Explanation:

y = 4x

y = x² +3

As y is common on left side:

x^2 + 3 = 4x

x^2 - 4x + 3 = 0

(x - 1)(x - 3) = 0

x = 1, 3.

When x = 1, y = 4*1 = 4

and when x = 3 , y = 12.

Answer 2

Answer: A. (1,4) and (3,12)

Explanation: These ordered pair are the only ones which fit into the given equations when substituted.

(1,4)
4 = 4(1)

4 = 4

4 = 1^2+3

4 = 4

(3,12)

12 = 4(3)

12 = 12

12 = 3^2+3

12 = 12