The graph of a system of an absolute value function and a linear func…

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For the absolute value function in the system:
Moving from left to right:
The function slants sharply down to the point (

- 1.5

5.5

).
The function then slants sharply up.
The function passes through the following points:
(

- 1.5

5.5

)
The function passes through the following points:
(

- 1.5

5.5

)
(

- 1

5

)
(

- 0.5

5.5

)
For the linear function in the system:
The function slants sharply up from left to right.
The function passes through the following points:
(

- 1.5

5.5

)
(

0

7

)

The graph of a system of an absolute value function and a linear function is shown. What is the solution

(x, y)

to this system of two equations?

(0, 7)

(\frac{3}{2}, \frac{11}{2})

(- \frac{3}{2}, \frac{11}{2})

(- 1, 5)