Question

The functions f(x) = −3/4x + 2 1/4 and g(x) = (1/2)x + 1 are shown in the graph.

What are the solutions to −3/4x + 2 1/4 = (1/2)x + 1?
Select each correct answer.
A.) −1
B.) 0
C.) 1
D.) 2
E.) 3

Answer 1

C. 1

−3/4x + 2 1/4 = (1/2)x + 1

Ax = B. Put all the x's on one side and the integers on the other.

−3/4x + 2 1/4 = 1/2x + 1

2 1/4 - 1 = 1/2x + 3/4x

B = Ax:

1 1/4 = 5/4 x

5/4x = 1 1/4x

x = B. Divide by 1 1/4:

1 1/4 = 1 1/4x

1 = x