The system of equations y = 1/4x-1 and y = - 1/2x-1/4 is shown on the graph below. What is a reasonable estimate for the solution?

A. (1, - 3/4)

B. (-3/4, 1)

C. (-1, 3/4)

D. (3/4, - 1)

A: (1,-3/4)

Step-by-step explanation:

Use substitution to solve the system

y = 1/4x-1

y = - 1/2x-1/4

1/4x-1 = - 1/2x-1/4, Solve for x

3/4x = 3/4, x = 1, Next solve for y by plugging the x-value into either equation.

y=1/4 (1) - 1

y=-3/4

1,-3/4