Write two solutions of the form x = 0, y = a and x = b, y = 0 for each of the following equations:
(i) 5x - 2y =10
(ii) - 4x + 3y =12
(iii) 2x + 3y = 24
(i) We are given, 5x - 2y = 10
Substituting x = 0 in the given equation, We get;
5× 0 - 2y = 10 - 2y = 10 - y = 10/2
y = - 5
Thus x = 0 and y = - 5 is the solution of 5x - 2y = 10
Substituting y = 0 in the given equation, we get 5x – 2 × 0 = 10
5x = 10
x = 10/5
x = 2
Thus x = 2 and y = 0 is a solution of 5x - 2y = 10
(ii) We are given, - 4x + 3y = 12
Substituting x = 0 in the given equation, we get;
- 4 × 0 + 3y = 12
3y = 12
y = 4
Thus x = 0 and y = 4 is a solution of the - 4x + 3y = 12
Substituting y = 0 in the given equation, we get;
- 4x + 3 × 0 = 12 – 4x = 12
x = -12/4
x = - 3
Thus x = - 3 and y = 0 is a solution of - 4x + 3y = 12
(iii) We are given, 2x + 3y = 24
Substituting x = 0 in the given equation, we get; 2 × 0 + 3y = 24
3y = 24
y = 24/3
y = 8
Thus x = 0 and y = 8 is a solution of 2x+ 3y = 24
Substituting y = 0 in the given equation, we get;
2x + 3 × 0 = 24
2x = 24
x = 24/2
x =12
Thus x = 12 and y = 0 is a solution of 2x + 3y = 24