Solve the System of Equations Using Elimination $$\left\{ \begin{array} { c } 2 x ^ { 2 } + y ^ { 2 } = 17 \\3 x ^ { 2 } - 2 y ^ { 2 } = - 6\end{array} \right.$$

question 89

Multiple Choice

Solve the system of equations using elimination.
- $$\left\{ \begin{array} { c } 2 x ^ { 2 } + y ^ { 2 } = 17 \\3 x ^ { 2 } - 2 y ^ { 2 } = - 6\end{array} \right.$$

• A) x= 1, y = 3; x = 1, y = -3; x = -1, y = 3; x = -1, y = -3
• B) x = 2, y = 3; x = 2, y = -3; x = -2, y = 3; x = -2, y = -3
• C) x = 2, y = -3; x = -2, y = 3
• D) x = 1, y = 3; x = -1, y= -3

---

Definitions:

Overstretching

The act of extending muscles, tendons, or limbs beyond their normal capacity, which can lead to injury.

Contusion

A bruise caused by a blunt force injury that damages blood vessels under the skin without breaking the skin surface.

Sprain

An injury to a ligament caused by overstretching or tearing, often affecting joints such as the ankle or wrist.

Initial Encounter

The first visit or consultation for a particular health issue or condition, marking the beginning of the treatment or diagnostic process.