Introduction to linear systems worksheet with definitions, examples, and practice problems.

Final Answer:
1. Yes — both equations are linear (degree 1 in x and y).
2. The solution is the point where the two lines intersect (read from the graph: approximately (2, −1)).
3. No — plug (1, 8) into both equations:
 • y = 9x − 1 → 8 = 9(1) − 1 = 8 ✔️
 • 2x − 4y = 10 → 2(1) − 4(8) = 2 − 32 = −30 ≠ 10 ✘
So (1, 8) is not a solution.
4. Example:
 y = 2x + 1
 y = −x + 4