Without Graphing, Decide:
(A) Are the Graphs of the Equations $\left\{ \begin{array} { l } 5 x + y = - 12 \\2 x + 2 y = 0\end{array} \right.$

question 125

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?
- $\left\{ \begin{array} { l } 5 x + y = - 12 \\2 x + 2 y = 0\end{array} \right.$

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

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Definitions:

Mental Images

Visual representations created by the brain for simulation and recall of experiences, objects, or concepts.

Mental Processes

Internal, covert activities of our minds, such as thinking, feeling, and problem-solving.

Real-World Counterparts

Objects, situations, or phenomena in the actual world that correspond to concepts, models, or examples in theoretical or simulated scenarios.

Mental Images

Visual representations in the mind's eye that are used in memory, creative visualization, and problem-solving.