Simultaneous Equations

Simultaneous Equations

Secondary 2

Consider: \[x+y=6,\qquad 2x+2y=k.\]

  1. What happens when \(k=12\)? State how many solutions there are and give two examples.

  2. What happens when \(k=14\)? Explain algebraically.

  3. Can any value of \(k\) give exactly one solution? Explain using the graphs.

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) Infinitely many; \((0,6)\text{ and}\hspace{0.5em}(2,4).\) (b) None; (c) No

Need help? Join our JC Math tuition classes.

Learn more