Solve the System of Equations $$\begin{aligned}3 x + 2 z & = - 18 + 5 y \\8 y & = 4 x + 9 y + 6 \\y & = 3 x + 2 z + 10\end{aligned}$$

question 9

Multiple Choice

Solve the system of equations. $$\begin{aligned}3 x + 2 z & = - 18 + 5 y \\8 y & = 4 x + 9 y + 6 \\y & = 3 x + 2 z + 10\end{aligned}$$

• A) \(( - 2,2 , - 1 )\)
• B) \(( - 2,0 , - 6 )\)
• C) \(( 0,2 , - 4 )\)
• D) \(( - 2,11,7 )\)

---

Definitions:

Co-vertices

In an ellipse, co-vertices are the endpoints of the minor axis, perpendicular to the major axis.

Standard Form

For equations, this refers to a method of writing quadratic equations as Ax^2 + Bx + C = 0, where A, B, and C are coefficients and A is not zero, ensuring a uniform structure for easier analysis.

Minor Axis

The shortest diameter of an ellipse, which passes through its center and is perpendicular to the major axis.

Function

A connection between a collection of inputs and a group of allowable outputs where each input is tied to only one output.