A system of three equations and their graphs in the *xy*-plane are shown above. How many solutions does the system have?

- A. One.
- B. Two.
- C. Three.
- D. Four.

**Answer**: B

**Why? **

The solutions to the system of equations are the points where the circle, parabola, and line all intersect. These points are and , and these are the only solutions to the system.

**Question Difficulty**: EASY

**Objective**: Students must demonstrate their conceptual understanding of graphical representations of variable relationships.

**Words**:

**graphs**– đồ thị (n): a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.**xy-plane**– trục xy (n): A**plane**with x- and y-axes defined is often referred to as the Cartesian**plane**or**xy**–**plane**. The value of x is called the x-coordinate or abscissa and the value of y is called the y-coordinate or ordinate.

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