Without Graphing, Decide:
(A) Are the Graphs of the Equations $\left\{ \begin{aligned}x + 6 y & = 18 \\y & = - \frac { 1 } { 6 } x + 3\end{aligned} \right.$

question 124

Multiple Choice

Without graphing, decide:
(a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point?
(b) How many solutions does the system have?
- $\left\{ \begin{aligned}x + 6 y & = 18 \\y & = - \frac { 1 } { 6 } x + 3\end{aligned} \right.$

• A) parallel lines; no solution
• B) identical lines; infinite number of solutions
• C) lines intersecting at a single point; one solution

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Definitions:

Ethmoid

A spongy, cube-shaped bone between the eyes and at the roof of the nose, crucial for supporting the nasal cavity and forming part of the eye sockets.

Femur

The longest and strongest bone in the human body, also known as the thigh bone, it extends from the hip to the knee.

Fibula

The fibula is the slender and long bone located on the lateral side of the tibia in the lower leg, playing a key role in stabilizing the ankle and supporting muscles of the lower leg.

Tarsals

The seven bones that form the ankle and the posterior portion of the foot arch.