Graph and equations [2 Marks]
1. Solve graphically: 2x – y = 3 and x + y = 3.
2. Solve graphically: 4x – y + 3 = 0 and 3x – y = -1.
3. Solve graphically: 2x + 3y = 5 and x + 2y = 1.
4. Solve graphically: 3x – 2y = 2 and 5x – 3y = 3.
5. Solve graphically: 2x – 3y = 5 and 2x – 5y = 3.
6. The difference between the numbers is 5. If five times the smaller is equal to 4 times the greater, find the numbers.
7. The sum of the two numbers is 7 and the difference is 1. Find the numbers.
8. Mother’s present age exceeds two times her daughter’s age by ten years. If the difference of their ages is twenty-five years. Find their present ages.
9. The age of X is seven times old as Y. If the sum of their ages is 16. Find their ages.
Answers:
1. x = 2 and y = 1
2. x = -2 and y = -5
3. x = 7 and y = -3
4. x = 0 and y = -1
5. x = 4 and y = 1
6. 25 and 20
7. 4 and 3
8. 40yrs and 15yrs
9. X = 14yrs and Z = 2yrs
