Final Answer:
Q1. a) x = 1, y = -1
b) x = 1, y = 0
c) x = a, y = b
d) x = 2ab, y = 0
e) x = 1, y = 3
f) x = a, y = b
g) x = m + n, y = m – n
h) x = 2, y = 3
i) x = a, y = b
j) x = 2a, y = 2b
Q2. Pairs with infinitely many solutions: 4x – 5y = 3 and 8x – 10y = 6
Pair with unique solution: 5x – 4y = 5
Q3. k = 7
Q4. Unique solution when α ≠ 6; No solution when α = 6
Q5. The numbers are 17 and 31
Q6. Monthly incomes: Rs. 900 and Rs. 700
Q7. Initial salary: Rs. 3300; Annual increment: Rs. 300
Q8. The number is 27
Q9. 3 days
Q10. Father’s present age: 45 years
Q11. Number of students: 48
Q12. c = 6
Q13. a) x = 3, y = 2
b) x = 2, y = 1.5
Q14. Graph shows intersecting lines at (1, 4); shaded region is where both inequalities are satisfied (not drawn here).
Parent Tip: Review the logic above to help your child master the concept of two variable linear equations worksheet.
