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If `(x_(1), y_(1)) and (x_(2), y_(2))` are solutions to the system of equations shown on the graph, what is the value of `x_(1)+x_(2)`?

A

`-3`

B

`0`

C

`2`

D

`5`

Text Solution

Verified by Experts

The correct Answer is:
D

Difficult: Easy
Category: Passport to Advanced Math/ Quadratics
Strategy Advice: The solutions to a system of equations presented graphically are the points where the graphs of the equations intersect.
Getting to the Answer: Read the graph carefully to find the point of intersection: `(-2, 3) and (7, -1)`. The question asks for the sum of x-coordinate of these points, and `-2+7=5`, so (D) is correct.
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