Question

Given the system y = 2x + 2 and y = 2^x , which statement below is true?

A) There are no solutions
B) The system has exactly one solution.
C) (3, 8) is a solution of the system.
D) (8, 3) is a solution of the system.

Answer 1

C) a solution is (3, 8).

Explanation:

2x + 2 = 2^x

By observation x = 3 is a solution

because 2(3) + 2 = 8 = 2^3.

When x = 3 , y = 8 so (3, 8) is a solution.