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1. Which one of the following options is true, and why?

y = 3x + 5 has

(i) a unique solution,

(ii) only two solutions,

(iii) infinitely many solutions.

2. Write four solutions for each of the following equations:

(i) \(2x + y = 7\)

(ii) \(πx + y = 9\)

(iii) \(x = 4y\)

3. Check which of the following are solutions of the equation \(x – 2y = 4\) and which are not:

(i) (0, 2)

(ii) (2, 0)

(iii) (4, 0)

(iv) \((\sqrt{2}, 4\sqrt{2})\)

(v) (1, 1)

4. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.