Question

What are the solutions to the following system of equations?

y = x2 − 7x + 14
−2x + y = −6

a
(2, 4), (5, 4)

b
(4, 2), (5, 4)

c
(2, 4), (4, 5)

d
(4, 2), (4, 5)

Answer 1

Answer:b, Therefore, the solutions to the system of equations are (4, 2) and (5, 4).

Step-by-step explanation: (x - 4)(x - 5) = 0

This gives us two possible values for x:

x = 4 or x = 5.

To find the corresponding values of y, we can substitute these values of x into either equation:

If x = 4, then y = -6 + 2x = -6 + 2(4) = 2.If x = 5, then y = -6 + 2x = -6 + 2(5) = 4.